# Groups St Andrews

### A series of conferences on group theory

The Groups St Andrews Conferences have been held every four years beginning in 1981. For a brief history of this conference series see the article Twenty-Five Years of Groups St Andrews.

The Proceedings of each of the conferences were published by Cambridge University Press. You can see the Introductions to these proceedings at THIS LINK.

We describe the social events for each of the Groups St Andrews conferences in more detail at THIS LINK.

A paper by C M Campbell about the Groups St Andrews Conferences is at THIS LINK.

Below we give the dates, main speakers and titles of the talks for the conferences together with other information.

**Click on a year below to see the data from that year.**

1981 | 1985 | 1989 | 1993 | 1997 |

2001 | 2005 | 2009 | 2013 | 2017 |

### Groups St Andrews 1981

Held in St Andrews, Scotland, 25 July - 8 August 1981

The Conference photograph is at THIS LINK.

The

*Preface to the Proceedings*for this conference are at THIS LINK.

The social events for this conference are described at THIS LINK.

**Main Speakers**

Joachim Neubüser (RWTH Aachen)

*An elementary introduction to coset table methods in computational group theory*

Derek Robinson (Urbana)

*Applications of cohomology to the theory of groups*

Sean Tobin (Galway)

*Groups with exponent four*

Jim Wiegold (Cardiff)

*The Schur multiplier: an elementary approach*

**One-hour invited talks**

Marshall Hall Jr (Caltech)

*Burnside groups of exponent five*

Donald Solitar (York, Ontario)

*Subgroup theorems*

F Rudolf Beyl (Heidelberg)

*Isoclinisms of group extensions and the Schur multiplicator*

Klaus W Roggenkamp (Stuttgart)

*Units in integral group rings*

Richard M Thomas (University College, London)

*Finite simple groups: a survey*

Frank Levin (Bochum)

*Lie ideals in group rings*

Malcolm J Wicks (Singapore)

*Automorphisms of free groups*

Christopher J B Brookes (Cambridge)

*Centrality in infinite soluble groups*

Verena Huber-Dyson (Calgary)

*On the open sentence problem for finite groups*

AnnChi Kim (Pusan)

*Problems in Fibonacci varieties*

### Groups St Andrews 1985

Held in St Andrews, Scotland, 27 July - 10 August 1985

The Conference photograph is at THIS LINK

A photograph of the principal speakers is at THIS LINK.

The

*Preface to the Proceedings*for this conference are at THIS LINK.

The social events for this conference are described at THIS LINK.

**Main Speakers**

Seymour Bachmuth (Santa Barbara)

*Automorphisms of solvable groups*

Gilbert Baumslag (CUNY)

*A survey of groups with a single defining relation*

Peter Neumann (Oxford)

*Some algorithms for computing with finite permutation groups*

Jim Roseblade (Cambridge)

*Five lectures on group rings*

Jacques Tits (Paris)

*Buildings and group amalgamations*

**One-hour invited talks**

John K Truss (Leeds)

*Embeddings of infinite permutation groups*

Derek J S Robinson (Illinois at Urbana-Champaign)

*Cohomology of locally nilpotent groups and applications*

Roger C Lyndon (Michigan)

*Coset graphs*

Robert A Wilson (Birmingham)

*Maximal subgroups of sporadic groups*

Benjamin C Brewster (Binghamton)

*Functors and their influence within the group*

James Howie (Heriot Watt)

*One-relator products*

F Rudolf Beyl (Heidelberg)

*The Schur multiplicator of*$SL(2, \mathbb{Z}/m\mathbb{Z})$

*and the congruence subgroup property*

Andrew M W Glass (Bowling Green)

*Lattice-ordered groups -- a very biased survey*

Benjamin Fine (Fairfield)

*The Picard group and the modular group*

Robert W van der Waall (Amsterdam)

*On Clifford's theorem and ramification indices for symplectic modules*

### Groups St Andrews 1989

Held in St Andrews, Scotland, 29 July - 12 August 1989

The Conference photograph is at THIS LINK.

A photograph of the principal speakers is at THIS LINK.

The

*Preface to the Proceedings*for this conference are at THIS LINK.

The social events for this conference are described at THIS LINK.

Pictures taken on the outing to Deeside are at THIS LINK.

**Main Speakers**

Sandy Green (Warwick)

*Schur algebras and general linear groups*

Narain Gupta (Manitoba)

*Integral dimension subgroups*

Otto Kegel (Freiburg)

*Existentially closed finitary linear groups*

Sasha Ol'shanskii (Moscow)

*Some applications of graded diagrams in combinatorial group theory*

John Thompson (Cambridge)

*Galois groups*

**One-hour invited talks**

John F Humphreys (Liverpool)

*A survey of recent results on projective representations of the symmetric groups*

Roger W Carter (Warwick)

*Kac-Moody groups*

Michael G Aschbacher (CalTech)

*Subgroup structure of exceptional groups of Lie type*

Martin Schoenert (RWTH Aachen)

*GAP -- groups, algorithms, programming*

Bernd Amberg (Mainz)

*Triply factorized groups*

Joachim Neubüser (RWTH Aachen)

*Computing in soluble groups*

Frank B Cannonito (Irvine)

*Algorithmic theory of certain solvable groups*

Derek J S Robinson (Illinois at Urbana-Champaign)

*Groups with the rewriting property P8*

Avinoam Mann (Oxford)

*Some applications of powerful p-groups*

Hyman Bass (Columbia, NY)

*Uniform tree lattices*

Adalbert Kerber (Bayreuth)

*Algebraic combinatorics: the use of finite group actions*

David L Johnson (Nottingham)

*Rational growth of wreath products*

Stephen J Pride (Glasgow)

*The*(

*co*)

*homology of certain infinite groups*

Klaus W Roggenkamp (Stuttgart)

*Observations on a conjecture of H Zassenhaus*

Gerhard Rosenberger (Dortmund)

*Generalizing algebraic properties of Fuchsian groups Part II*

**CAYLEY Workshop**

Robert Sandling (Manchester)

CAYLEY:

*A group ring module for Cayley*

Gerhard J A Schneider (Essen)

(i) CAYLEY:

*Representation theory*

(ii) CAYLEY:

*The use of library and other facilities with Cayley*

Eamonn A O'Brien (Marquette)

CAYLEY:

*p-groups and soluble groups*

Edmund F Robertson (St Andrews)

CAYLEY:

*finitely presented groups*

### Groups St Andrews 1993 in Galway

Held in Galway, Ireland, 1 August - 14 August 1993

The Conference photograph is at THIS LINK

The

*Preface to the Proceedings*for this conference are at THIS LINK.

The social events for this conference are described at THIS LINK.

**Main Speakers**

Jon Alperin (Chicago)

*Geometry, Steinberg representations and complexity*

Michel Broué (Paris)

*Rickard equivalences and block theory*

Peter Kropholler (Queen Mary College, London)

*Cohmological finiteness conditions*

Alex Lubotzky (Hebrew University of Jerusalem)

*Counting finite index subgroups*

Efim Zelmanov (Wisconsin-Madison)

*Lie methods in group theory*

**One-hour invited talks**

Hyman Bass (Columbia, NY)

*Representations of finitely generated groups*

Roger M Bryant (UMIST)

*The finite basis problem for varieties of groups*

Carlo Casolo (Udine)

*Subnormal subgroups*

R Keith Dennis (Cornell)

*The number of groups of order n*

Narain D Gupta (Manitoba)

Thomas J Laffey (Dublin)

*Some results on conjugacy and factorisation of elements in*$GL(n,\mathbb{Z})$

Geoffrey Mason (Santa Cruz , Ca.)

*The quantum double of a finite group and its role in conformal field theory*

Peter P Palfy (Academy of Sciences, Hungary)

*Intervals in subgroup lattices of finite groups*

Cheryl E Praeger (Western Australia)

*Finite regularity of locally finite simple groups*

Aner Shalev (Hebrew, Jerusdalem)

*Recent developments in the theory of pro-p-groups*

John S Wilson (Cambridge)

*Economical generating sets for finite simple groups*

François Zara (Amiens)

*Some*$(G, X)-$

*groups*

*Workshop on Computational Group Theory and the use of GAP*

Joachim Neubüser (RWTH Aachen)

*Finitely Presented Groups - coset table methods*

Derek F Holt (Warwick)

*Finitely Presented Groups -- Knuth-Bendix and automatic groups*

Herbert Pahlings (RWTH Aachen)

*Representation theory -- computing characters*

Klaus Lux (RWTH Aachen)

*Representation theory -- Brauer characters*

Meinolf Geck (RWTH Aachen)

*Representation theory -- Chevalley groups*

Michael F Newman (ANU, Canberra)

*Collection methods -- p-quotients*

Joachim Neubüser (RWTH Aachen)

*Collection methods -- polycyclic presented groups*

Akos Seress (Ohio)

*Permutation groups -- membership testing*

Derek F Holt (Warwick)

*Cohomology groups*

Charles R Leedham-Green (QMW, London)

*Matrix groups*

Leonard H Soicher (QMW, London),

*Group, graphs and designs*

**Gruenbergtag**

Brian Hartley (Manchester)

*Modular relations and residual nilpotence*

C Kanta Gupta (Manitoba)

*Automorphisms and primitivity in relatively free groups*

Peter J Webb (Minnesota)

*Half a dozen ways to compute cohomology groups*

Michael F Newman (ANU, Canberra)

*Computing with Engel elements*

Klaus W Roggenkamp (Stuttgart)

*The isomorphism problem and Cech cohomology*

Paul Fong (Illinois at Chicago)

*Perfect isometries, isotypes and a conjecture*

Thaddeus C Hurley (Galway)

*Ucg, qmc, kwg and fgp*

### Groups St Andrews 1997 in Bath

Held in Bath, England, 26 July - 9 August 1997

More details (including copies of the

*Daily Group Theorist*) are available at THIS LINK

The

*Preface to the Proceedings*for this conference are at THIS LINK.

The social events for this conference are described at THIS LINK.

**Main Speakers**

Laszlo Babai (Chicago)

*A polynomial-time theory of black box groups*

Martin Bridson (Oxford)

*Non-positive curvature in group theory*

Chris Brookes (Cambridge)

*Group-theoretic applications of non-commutative toric geometry*

Cheryl Praeger (Western Australia)

*Primitive prime divisor elements in finite classical groups*

Aner Shalev (Hebrew University of Jerusalem)

*Probabilistic group theory*

**One-hour invited talks**

Robert M Beals (Arizona)

*Towards polynomial time algorithms for matrix groups*

Ludmil Katzarkov (Irvine, California)

*Projective surfaces, symplectic fourfolds and Burnside groups*

Alexander Yu Ol'shanskii (Vanderbilt)

*Centralisers and locally finite subgroups in free Burnside groups of large even exponents*

Rostislav Grigorchuk (Texas A&M)

*Burnside fractal groups and their presentations*

Peter M Neumann (Oxford)

*Burnside and his problem*

John R J Groves (Melbourne)

*Finitely presented soluble Lie algebras*

Roger M Bryant (UMIST)

Lie powers of representations of finite groups

Andrea Caranti (Trento)

*Graded Lie algebras related to the Nottingham group and to p-groups of maximal class*

Nik Ruskuc (St Andrews)

*Groups, semigroups and presentations*

Stephen A Linton (St Andrews)

*Recognising*$GL_{n}(q)$

Herbert Pahlings (RWTH Aachen)

*Checking Dade's conjectures*

Charles F Miller III (Melbourne)

*Asphericity and decision problems*

Victor S Guba (Vologda, Russia)

*On the Dehn function of R Thompson's group*

Alexander Yu Ol'shanskii (Vanderbilt)

*On subgroup distortion*

Antonio Vera-Lopez (Bilbao)

*On p-groups of maximal class*

Peter P Palfy (Budapest)

*On the character degree graph of soluble groups*

Akos Seress (Ohio)

*Black box classical groups*

### Groups St Andrews 2001 in Oxford

Held in Oxford, England, 5 August - 18 August 2001

More details (including photographs, etc.) are available at THIS LINK

The

*Preface to the Proceedings*for this conference are at THIS LINK.

The social events for this conference are described at THIS LINK.

**Main Speakers**

Marston Conder (Auckland)

*Group actions on graphs, maps and surfaces with maximum symmetry*

Persi Diaconis (Stanford)

*Random walks on groups: characters and geometry*

Peter Palfy (Eötvös Loránd, Budapest)

*Groups and lattices*

Marcus du Sautoy (Cambridge),

*Zeta functions of groups: the quest for order versus the flight from ennui*

Mike Vaughan-Lee (Christ Church, Oxford)

*Lie methods in group theory*

**One-hour invited talks**

Markku Niemenmaa (Oulu, Finland)

*On the relationship between group theory and loop theory*

Dessislava Kochloukova (Sao Paulo, Brazil)

*Invariants of discrete groups, Lie algebras and pro-p groups*

Lawrence E Wilson (Chicago, USA)

*Powerful p-groups are power-abelian*

Andrea Caranti (Trento)

*Graded Lie algebras of maximal class*

Gunnar Traustason (Marseille and Lund)

*On Engel groups*

Jan Krempa (Warsaw)

*On free submonoids of groups*

Derek J S Robinson (Illinois at Urbana Champaign)

*Derivations and the permutability of subgroups in polycyclic-by-finite groups*

Richard M Thomas (Leicester)

*Groups and string rewriting*

Ron Solomon (Ohio)

*Danny and odd types*

Bernd Stellmacher (Kiel)

*Groups of characteristic p*

Richard N Lyons (Rutgers)

*Danny, the generic group theorist*

Paul Flavell (Birmingham)

*Coprime action on finite groups*

George Havas (Queensland)

*Andrews-Curtis and Todd-Coxeter proof words*

Simon R Thomas (Rutgers)

*The complexity of classification problems for classes of countable groups*

H Dugald MacPherson (Leeds)

*Polish groups and automorphism groups*

Slawomir J Solecki (Indiana)

*Groups with metric topologies and their applications*

Simon R Thomas (Rutgers)

*Superrigidity and Borel equivalence relations*

Alexander S Kechris (Caltech)

*Cosets of groups*

### Groups St Andrews 2005

Held in St Andrews, Scotland, 30 July - 6 August 2005

The Conference photograph is at THIS LINK.

More details (including photographs, etc.) are available at THIS LINK

The

*Preface to the Proceedings*for this conference are at THIS LINK.

The social events for this conference are described at THIS LINK.

**Main Speakers**

Peter Cameron (Queen Mary, London)

*Aspects of infinite permutation groups;*

Slava Grigorchuk (Texas A&M)

*On self-similarity and branching in group theory*

John Meakin (Nebraska-Lincoln)

*Interactions between group theory and semigroup theory*

Akos Seress (Ohio State)

*Graphs, automorphisms, and product action*

**One-hour invited talks**

Peter M Neumann (Oxford)

*The second memoir of Évariste Galois*

Derek J S Robinson (Illinois at Urbana Champaign)

*The Maier-Schmid problem for infinite groups*

George Havas (Queensland)

Alice C Niemeyer (Western Australia)

Peter H Kropholler (Glasgow)

*A generalization of the Lyndon-Hochschild-Serre spectral sequence and some applications to geometric group theory*

Robert W van der Waall (Amsterdam)

*On n-isoclinic groups*

Ben Fine (Fairfield)

*On surface groups: motivating examples in combinatorial group theory*

### Groups St Andrews 2009

Held in Bath, England, 1 August - 15 August 2009

The Conference photograph is at THIS LINK.

More details (including slides of presentations) are available at THIS LINK.

The

*Preface to the Proceedings*for this conference are at THIS LINK.

The social events for this conference are described at THIS LINK.

**Main Speakers**

Gerhard Hiss (RWTH, Aachen, Germany)

*Finite groups of Lie type and their representations*

Volodymyr Nekrashevych (Texas A&M, Texas, USA)

*Iterated monodromy groups*

Dan Segal (All Souls College, Oxford)

*Words and groups*

Eamonn O'Brien (Auckland, New Zealand)

*Effective algorithmic approaches for linear groups*

Mark Sapir (Vanderbilt, Nashville, USA)

*Residually finite groups, random walks and dynamics of polynomial maps over p-adics*

**Plenary Talks**

Simon R Blackburn (Royal Holloway)

*Group theory in cryptography*

Marian Deaconescu (Kuwait)

*Automotives*

Ben Fine (Fairfield)

*One relator groups: A systematic approach*

Waldemar Holubowski (Gliwice)

*Subgroups of infinite matrices*

Derek J S Robinson (Illinois at Urbana Champaign)

*Generalized Baumslag-Solitar groups*

Gerhard Rosenberger (Dortmund)

*Subgroups generated by the solution sets of quadratic equations in group amalgams*

**B H Neumann Day**

Peter M Neumann (Oxford)

*Some classic and nearly classic problems on varieties of groups*

Michael Vaughan-Lee (Oxford)

*The Hughes Problem*

Cheryl E Praeger (Western Australia)

*Neumann: one hundred years*

Waldemar Holubowski (Gliwice)

*On free groups in the variety generated by a finite group*

Francesco Russo (Naples)

*A different formulation of a result of B H Neumann*

Luise-Charlotte Kappe (SUNY, Binghamton)

*Finite coverings: a journey through groups, loops, rings and semigroups*

Walter D Neumann (Columbia)

*Quasi-isometry of*3

*-manifold groups*

Gilbert Baumslag (CUNY)

*Remembering Bernhard Neumann*

**Cannon and Holt Day**

George Havas (Queensland)

*On one-relator quotients of the modular group*

Claas Röver (Galway)

Languages in group theory

Marston D E Conder (Auckland)

*Finding normal subgroups of small index in finitely-presented groups*

Richard M Thomas (Leicester)

*Some generalizations from groups to semigroups*

Stephen P Glasby (Central Washington)

*Computing the Frobenius normal form*

Scott Murray (Sydney)

*An application of Magma to groups acting on trees*

Colva M Roney-Dougal (St Andrews)

*Maximal subgroups of finite groups*

Charles R Leedham-Green (QMUL)

*Classifying p-groups*

**Engel Groups Day**

Gunnar Traustason (Bath)

*Engel groups*

Olga Macedonska (Gliwice)

*On Engel and positive laws*

Patrizia Longobardi (Salerno)

*Engel conditions on orderable groups and in combinatorial problems*

Primoz Moravec (Ljubljana)

*Schur multipliers of*4

*-Engel groups*

Robert F Morse (Evansville)

*Levi-properties in groups: The Engel connection*

Serena Cicalò (Trento)

*Constructing n-Engel Lie rings*

Alireza Abdollahi (Isfahan, Iran)

*Engel elements in groups*

Michael Vaughan-Lee (Oxford)

*Lie ring methods in Engel groups*

### Groups St Andrews 2013

Held in St Andrews, Scotland, 3 August - 11 August 2013

More details (including abstracts and slides of presentations) are available at THIS LINK.

The

*Preface to the Proceedings*for this conference are at THIS LINK.

The social events for this conference are described at THIS LINK.

**Main Speakers**

Emmanuel Breuillard (Paris-Sud 11)

*Approximate subgroups and super-strong approximation*

Martin W Liebeck (Imperial College, London)

*Width questions for finite simple groups*

Alan W Reid (Texas at Austin)

*Profinite properties of discrete groups*

Karen Vogtmann (Cornell)

$GL(n, \mathbb{Z}), Out(F_{n})$

*and everything in between: automorphism groups of RAAGs*

**One-hour invited talks**

Peter J Cameron (St Andrews)

*Permutation groups and transformation semigroups: results and problems*

Radha Kessar (City University, London)

*On the Castelnuovo-Mumford regularity of the cohomology of fusion systems and of the Hochschild cohomology of block designs*

Markus Lohrey (Leipzig)

*The rational subset membership problem for groups: a survey*

Derek J S Robinson (Illinois at Urbana-Champaign)

*Generalized Baumslag-Solitar groups: a survey of recent progress*

Christopher Voll (Bielefeld)

*Zeta functions of groups and rings -- recent developments*

### Groups St Andrews 2017

Held in Birmingham, England, 5 August - 13 August 2017

The Conference photograph is at THIS LINK.

More details (including abstracts and slides of presentations) are available at THIS LINK.

The

*Preface to the Proceedings*for this conference are at THIS LINK.

The

*Preface to the Proceedings*for this conference are at THIS LINK.

The social events for this conference are described at THIS LINK.

**Main Speakers**

Michael Aschbacher (Caltech)

*Finite simple groups and fusion systems*

Pierre-Emmanuel Caprace (Université Catholique de Louvain)

*Locally compact groups beyond Lie theory*

Radha Kessar (City, University of London)

*On characters and p-blocks of finite simple groups*

Gunter Malle (TU Kaiserslautern)

*Local-global conjectures*

**One-hour invited talks**

Tim Burness (University of Bristol)

*Simple groups, generation and probabilistic methods*

Vincent Guirardel (Université de Rennes 1)

*Boundaries for*$Out (F_{n})$

Harald Helfgott (University of Göttingen)

*The diameter of the symmetric group: ideas and tools*

Andrei Jaikin-Zapirain (Universidad Autónoma de Madrid)

*On l2 -Betti numbers and their analogues in positive characteristic*

Donna Testerman (École Polytechnique Fédérale de Lausanne)

*Representations and subgroup structure of simple algebraic groups*

Compiled by

*Colin M Campbell*