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

Below we give the dates, main speakers and titles of the talks for the conferences:

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

**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*

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

**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, **Z**/*m***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*

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

**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*

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

**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*,**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*

Fran¨ois 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*

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

**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*

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

**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*

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

**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)

*4-Engel groups are locally nilpotent*

Alice C Niemeyer (Western Australia)

*Symmetric groups in fancy dress*

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*

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

**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*

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

**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*, **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*

Compiled by

JOC/EFR October 2015

The URL of this page is:

http://www-history.mcs.st-andrews.ac.uk/history/Societies/Groups_St_Andrews.html