# Groups St Andrews 2005

## Full programme of lectures and short talks

## Sunday 31st July

## Physics Lecture Theatre A

9:00 am: Peter Cameron,

*Aspects of infinite permutation groups*(I)

10:00am: Akos Seress,

*Graphs, automorphisms and product action*(I)

11:30am: Rostislav Grigorchuk,

*On self-similarity and branching in group theory*(I)

## Mathematics Lecture Theatre B

**Chair: George Havas**

2:00pm: Russell Blyth,

*Computing non-abelian tensor squares of polycyclic groups*

2:25pm: Stephen Glasby,

*The shape of solvable and nilpotent groups*

2:50pm: Vahid Alamian,

*Isoclinism of non-abelian tensor product of groups*

3:15pm: Robert Burns,

*When a word spells "nilpotent-by-finite": Sarah Black's criterion*

**Chair: James Mitchell**

4:00pm: Alan Cain,

*Malcev presentations for subsemigroups of groups*

4:25pm: Lev Shneerson,

*Types of growth in semigroup varieties*

4:50pm: John Bamberg,

*On 3/2-transitive groups*

5:15pm: Goetz Pfeiffer,

*Units in the Burnside ring of a finite group*

## Mathematics Lecture Theatre C

**Chair: Colva Roney-Dougal**

2:00pm: Luda Markus-Epstein,

*Some algorithmic problems for finitely generated subgroups of amalgams of finite groups*

2:25pm: Mark Stather:

*Computing in matrix groups*

2:50pm: Vahid Dabbaghian-Abdoly,

*Computing matrix representations of finite groups of Lie type*

3:15pm: Henrik Baarnhielm,

*Constructive recognition of the Suzuki groups*

**Chair: Sophie Huczynska**

4:00pm: Waldemar Holubowski,

*Groups of infinite matrices*

4:25pm: Scott Brown,

*Proportions of cyclic matrices*

4:50pm: Leonid Kurdachenko,

*A survey: On some infinite dimensional linear groups*

5:15pm: Diego Rattaggi,

*Quaternion groups and lattices in products of trees*

## Mathematics Lecture Theatre D

**Chair: Alexander Konovalov**

2:00pm: Conchita Martinez-Perez,

*On a bound for the Bredon cohomological dimension of a group*

2:25pm: Karl Lorensen,

*P-localization and cohomology*

2:50pm: Elisabetta Pastori,

*Cohomology groups and finite covers*

3:15pm: George Glauberman,

*Abelian subgroups of small index in finite p-groups*

**Chair: Alexander Konovalov**

4:00pm: Csaba Schneider,

*Small derived quotients in a finite p-group*

4:25pm: Antonio Beltran,

*Conjugacy classes of p-regular elements in p-solvable groups*

4:50pm: Charles Eaton,

*Analogues of blocks of p-solvable groups*

5:15pm: Rachel Quinlan,

*p-Groups and spaces of alternating bilinear forms*

## Monday 1st August

## Physics Lecture Theatre A

9:00 am: John Meakin,

*Interactions between group theory and semigroup theory*(I)

10:00am: Peter Cameron,

*Aspects of infinite permutation groups*(II)

11:30am: Akos Seress,

*Graphs, automorphisms and product action*(II)

**1:45pm Conference Photograph**

## Mathematics Lecture Theatre B

**Chair: Ted Hurley**

2:00pm: Mary Schaps,

*Crossovers between covering groups of symmetric and alternating groups*

2:25pm: Elizabeth Kimber,

*Minimum cyclic generating sets for abelian groups*

2:50pm: Alice Devillers,

*Presentations of groups acting on buildings*

3:15pm: Andrew Duncan,

*Lattices of subgroups of partially commutative groups*

**Chair: Gunnar Traustason**

4:00pm: Alexander Hulpke,

*Computer calculations to verify the S3 conjecture*

4:25pm: Margret Jonsdottir,

*Computing automorphism towers*

4:50pm: Maska Law,

*A reduction algorithm for large base primitive permutation groups*

5:15pm: Scott Murray,

*Computing in soluble algebraic groups*

## Mathematics Lecture Theatre C

**Chair: David Johnson**

2:00pm: Zvi Arad,

*The History of the classification of finite CC-groups and applications*(40 minutes)

2:50pm: Andrew Glass,

*An analogue for lattice ordered groups of Higmans embedding theorem*(40 minutes)

**Chair: Rex Dark**

4:00pm: Dan Levy,

*Products of Sylow subgroups and the solvable radical*, I

4:25pm: Gil Kaplan,

*Products of Sylow subgroups and the solvable radical*, II

4:50pm: Bernhard Amberg,

*Radical rings and Engel condition*

5:15pm: Peter Hubert,

*Nearrings and triply factorized groups*

## Mathematics Lecture Theatre D

**Chair: Rachel Quinlan**

2:00pm: Gunnar Traustason,

*Engel groups*

2:25pm: Olga Macedonska,

*Positively discriminating groups*

2:50pm: Anatoly Kondratiev,

*2-Signalizers and normalizers of Sylow 2-subgroups in finite simple groups*

3:15pm: Izabela Malinowska,

*On finite nearly uniform groups*

**Chair: Claas Rover**

4:00pm: Olympia Talelli,

*On groups of type Phi*

4:25pm: Taghi Karimi,

*Some bounds for the commutator subgroup and the Schur multiplier of a pair of finite groups*

4:50pm: Eloisa Detomi,

*Profinite groups with a rational probabilistic zeta function*

5:15pm: Erika Damian,

*The probabilistic zeta function of finite simple groups*

## Mathematics Room 1A

**Chair: Russell Blyth**

2:00pm: Saeed Kayvanfar,

*On sequences of Baer invariants of some varietal perfect groups*

2:25pm: Saeed Kayvanfar,

*Inequalities for the Baer invariant of finite groups*

2:50pm: Igor Subbotin,

*A survey: pronormal, abnormal, and Carter subgroups in infinite groups*

3:15pm: Mihail Klin,

*Links between Latin squares, nets, and graphs of groups*

**Chair: Daniela Nikolova**

4:00pm: Akbar Golchin,

*On kernel flatness*

4:25pm: Mohammad Reza Moghaddam,

*The Schur multiplier and covering pair of a pair of groups*

4:50pm: Arye Juharz,

*The membership problem for Magnus subsemigroups of 1-relator groups*

## Tuesday 2nd August

## Physics Lecture Theatre A

9:00 am: Rostislav Grigorchuk,

*On self-similarity and branching in group theory*(II)

10:00am: Peter M Neumann,

*The second memoir of Evariste Galois*

11:30am: John Meakin,

*Interactions between group theory and semigroup theory*(II)

## Mathematics Lecture Theatre B

**Chair: Olympia Talelli**

2:00pm: Jill Dietz,

*Automorphisms of products*

2:25pm: M.C. Pedraza-Aguilera,

*New results on products of finite groups*

2:50pm: M.D. Perez-Ramos,

*On certain products of groups*

3:15pm: Ana Martinez-Pastor,

*Embedding properties in direct products*

4:00pm: Ali Reza Ashrafi,

*Classification of finite groups by the number of element centralizers*

4:30pm: Alice Niemeyer,

*Symmetric groups in fancy dress*

## Mathematics Lecture Theatre C

**Chair: Alexander Hulpke**

2:00pm: Sarah Perkins,

*Commuting graphs for various groups*

2:25pm: Michael Giudici,

*A global approach to the study of locally s-arc transitive graphs*

2:50pm: Daniela Amato,

*Infinite primitive highly arc-transitive digraphs*

3:15pm: Jamshid Moori,

*Codes, designs and graphs from finite simple groups*

4:00pm: Gerhard Rosenberger,

*Commutative transitive, CSA- and RG-one relator groups*

4:30pm: Peter Kropholler,

*A generalization of the Lyndon-Hochshild-Serre spectral sequence and some applications*

## Mathematics Lecture Theatre D

**Chair: Goetz Pfeiffer**

2:00pm: Peter Mayr,

*Sharply 2-transitive groups with point stabilizer of finite exponent*

2:25pm: Gerald Williams,

*Pseudo-elementary generalized triangle groups*

2:50pm: Jan Krempa,

*On strongly balanced groups*

3:15pm: Alexander Konovalov,

*On the modular isomorphism problem of group algebras*

4:00pm: Stefan Kohl,

*Residue class-wise affine groups*

## Mathematics Room 1A

**Chair: Roger Bryant**

2:00pm: Mohammad Davarpanah,

*The Schur multiplier of prime power groups*

2:25pm: Farshid Saeedi,

*On the Schur multiplier of a pair of finite p-groups*

2:50pm: Zohreh Mostaghim,

*On C-normal subgroups of some classes of finite groups*

3:15pm: Thomas Weigel,

*Frattini extension and class field theory*

4:00pm: Alina Vdovina,

*Torsion-free hyperbolic groups with property (T)*

## Wednesday 3nd August

## Physics Lecture Theatre A

9:00 am: Peter Cameron,

*Aspects of infinite permutation groups*(III)

10:00am: Akos Seress,

*Graphs, automorphisms and product action*(III)

11:30am: Rostislav Grigorchuk,

*On self-similarity and branching in group theory*(III)

**Afternoon Excursions**

Walk along Fife Coastal Path, leaving promptly from New Hall after lunch.

Bus Trip to Glamis Castle, leaving New Hall at 2pm.

**Conference Dinner**

David Russell Hall

7:30pm for 8pm

(Ticket Holders)

## Thursday 4nd August

## Physics Lecture Theatre A

9:00 am: John Meakin,

*Interactions between group theory and semigroup theory*(III)

10:00am: Derek J S Robinson,

*The MaierSchmid Problem for infinite groups*

11:30am: Peter Cameron,

*Aspects of infinite permutation groups*(IV)

## Mathematics Lecture Theatre B

**Chair: Murray Elder**

2:00pm: Zoran Sunik,

*The Cayley graph of the first Grigorchuk group*

2:25pm: Eric Freden,

*Growth in Baumslag-Solitar groups*

2:50pm: Daniel Ying,

*Trigonal Riemann surfaces of low genera*

3:15pm: Dimitios Varsos,

*On the Hopficity of certain HNN extensions*

4:00pm: Ghorban Ali Moghani,

*On automorphism groups of some chemical graphs*

4:30pm: Robert van der Waal,

*On n-isoclinic groups: 1939-2004*

## Mathematics Lecture Theatre C

**Chair: Igor Subbotin**

2:00pm: Anthony Gaglione,

*Groups universally equivalent to free nilpotent groups*

2:25pm: Des MacHale,

*Some supersolubility conditions for finite groups*

2:50pm: Marta Morigi,

*The probability of generating prosoluble groups*

3:15pm: Piroska Csorgo,

*Abelian inner mapping groups and nilpotency classes*

4:00pm: Gerhard Pazderski,

*Linear solvable groups of maximal chief rank*

4:30pm: Ben Fine,

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

## Mathematics Lecture Theatre D

**Chair: Stefan Kohl**

2:00pm: Maryam Ghorbany,

*Permutation and quasi-permutation representations of the Chevalley groups*

2:25pm: Dave Johnson,

*Fibonacci sequences in groups*

2:50pm: Dale Sutherland,

*On the F^{a,b,c} conjecture*

3:15pm: Daniela Nikolova,

*Constructive recognition of some characters of finite soluble groups*

4:00pm: Thomas Keller,

*Orbits on conjugacy classes of normal subgroups*

## Mathematics Room 1A

**Chair: Jamshid Moori**

2:00pm: Carmela Sica,

*Groups with finitely many conjugacy classes of centralizer*

2:25pm: Martin Cook,

*Conjugacy class structure in simple algebraic groups*

2:50pm: Maria Tota,

*Normalizers and conjugacy classes of normalizers*

3:15pm: Erzsebet Horvath,

*Inequalities related to blocks and conjugacy classes of finite groups*

4:00pm: Marcel Herzog,

*New results on the sizes of conjugacy classes and character degrees in finite groups*

## Friday 5th August

## Physics Lecture Theatre A

9:00 am: Akos Seress,

*Graphs, automorphisms and product action*(IV)

10:00am: Rostislav Grigorchuk,

*On self-similarity and branching in group theory*(IV)

11:30am: John Meakin,

*Interactions between group theory and semigroup theory*(IV)

## Mathematics Lecture Theatre B

**Chair: Evgeny Khukhro**

2:00pm: Rick Thomas,

*Irreducible word problems in groups*

2:25pm: Robert Shwartz,

*Groups with ordered generating systems*

2:50pm: Murray Elder,

*Games you can play with Cayley graphs*

3:15pm: Chris Wensley,

*Introduction to representations of cat(1)-groups*

**Chair: Gareth Jones**

4:00pm: John Bray,

*Explicit constructions of maximal subgroups of the Monster*

4:25pm: Richard Barraclough,

*On the character table of a maximal subgroup of the Monster*

## Mathematics Lecture Theatre C

**Chair: Peter Kropholler**

2:00pm: Xaro Soler-Escriva,

*On prefrattini subgroups of finite groups: a survey*

2:25pm: Clara Calvo,

*On one-generated formations*

2:50pm: Maria Jose Felipe Roman,

*Structure of finite groups under certain conditions on class sizes*

3:15pm: Francesco Fumagalli,

*On subnormality criteria for subgroups in finite groups*

**Chair: Des MacHale**

4:00pm: Robert Morse,

*On Commutators*

4:25pm: Arieh Lev,

*On the size of the commutator subgroup in finite groups*

## Mathematics Lecture Theatre D

**Chair: Martyn Quick**

2:00pm: Ahmed Khammash,

*On The Brauer-Fitting correspondence*

2:25pm: Lucia Sanus,

*Fong characters and their fields of values*

2:50pm: Kenneth Johnson,

*The characterisation of group characters using Frobenius' k-characters*

3:15pm: Wujie Shi,

*Arithmetical properties of finite groups*

**Chair: Gerhard Rosenberger**

4:00pm: Tatiana Pedraza,

*Radical locally finite T-groups*

## Mathematics Room 1A

**Chair: Robert van der Waall**

2:00pm: Negar Shahni Karamzadeh,

*Towards a recognition of the groups PSL(n,q) where q=p2*

2:25pm: Aliakbar Mohammadi Hassanabadi,

*Non-cyclic graph associated with a group*

2:50pm: John Bamberg,

*On 3/2-transitive groups*

3:15pm: Kevin Jennings,

*Structures of abelian groups with different sets*

**Chair: Rick Thomas**

4:00pm: Evgeny Khukhro,

*Automorphisms whose centralizers have small rank*

4:25pm: Robert Bailey,

*The single orbit conjecture for uncoverings-by-bases*

## Physics Lecture Theatre A

4:50pm: George Havas, 4

*-Engel groups are locally nilpotent*

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