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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 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
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 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
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)
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
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