Groups St Andrews 2013

doi:10.1017/CBO9781316227343

Every four years, leading researchers gather to survey the latest developments in all aspects of group theory. Since 1981, the proceedings of those meetings have provided a regular snapshot of the state of the art in group theory and helped to shape the direction of research in the field. This volume contains selected papers from the 2013 meeting held in St Andrews. It begins with major articles from each of the four main speakers: Emmanuel Breuillard (Paris-Sud), Martin Liebeck (Imperial College London), Alan Reid (Texas) and Karen Vogtmann (Cornell). These are followed by, in alphabetical order, survey articles contributed by other conference participants, which cover a wide spectrum of modern group theory.

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Contents

Frontmatter
pp i-iv
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Contents
pp v-viii
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INTRODUCTION
pp ix-x
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Approximate subgroups and super-strong approximation
pp 1-50
- By Emmanuel Breuillard, Université Paris
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Width questions for finite simple groups
pp 51-72
- By Martin W. Liebeck, Department of Mathematics, Imperial College, London
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Profinite properties of discrete groups
pp 73-104
- By Alan W. Reid, Department of Mathematics, University of Texas
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GL(n, Z), Out(Fn) and everything in between: automorphism groups of RAAGs
pp 105-127
- By Karen Vogtmann, University of Warwick
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Permutation groups and transformation semigroups: results and problems
pp 128-141
- By João Araújo, Universidade Aberta, Peter J. Cameron, University of St Andrews
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New progress on factorized groups and subgroup permutability
pp 142-151
- By Milagros Arroyo-Jordá, Universidad Politécnica de Valencia, Paz Arroyo-Jordá, Universidad Politécnica de Valencia, Ana Martínez-Pastor, Universidad Politécnica de Valencia, M. Dolores Pérez-Ramos, Universitat de València
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A survey on the normalizer problem for integral group rings
pp 152-159
- By Andreas Bächle, Vrije Universiteit Brussel
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A survey on Clifford-Fischer theory
pp 160-172
- By Ayoub B.M. Basheer, University of KwaZulu-Natal, Jamshid Moori, North-West University
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A generalisation on the solvability of finite groups with three class sizes for normal subgroups
pp 173-182
- By Antonio Beltrán, Universidad Jaume, María José Felipe, Universidad Politécnica de Valencia
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Automorphism groups of non-orientable Riemann surfaces
pp 183-193
- By E. Bujalance, Departamento de Matemáticas Fundamentales, F.J. Cirre, Departamento de Matemáticas Fundamentales, J.J. Etayo, Universidad Complutense, G. Gromadzki, Gdańsk University, E. Martínez, Departamento de Matemáticas Fundamentales
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What are the C2-groups?
pp 194-208
- By Inna Capdeboscq, University of Warwick, Christopher Parker, University of Birmingham
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Resurrecting Wells’ exact sequence and Buckley's group action
pp 209-224
- By Jill Dietz, St. Olaf College
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Recent work on Beauville surfaces, structures and groups
pp 225-241
- By Ben Fairbairn, University of London
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Something for nothing: some consequences of the solution of the Tarski problems
pp 242-270
- By Benjamin Fine, Fairfield University, Anthony Gaglione, Department of Mathematics, Gerhard Rosenberger, University of Hamburg, Dennis Spellman, Temple University
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The groups of projectivities in finite planes
pp 271-277
- By Theo Grundhöfer, Universität Würzburg
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On the relation gap and relation lifting problem
pp 278-285
- By Jens Harlander, Boise State University
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Some results on products of finite subsets in groups
pp 286-305
- By Marcel Herzog, Tel-Aviv University, Patrizia Longobardi, Università di Salerno, Mercede Maj, Università di Salerno
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Formal languages and group theory
pp 306-323
- By Sam A.M. Jones, University of Leicester, Richard M. Thomas, University of Leicester
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On the Castelnuovo-Mumford regularity of the cohomology of fusion systems and of the Hochschild cohomology of block algebras
pp 324-330
- By Radha Kessar, City University London, Markus Linckelmann, City University London
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Recent advances on torsion subgroups of integral group rings
pp 331-347
- By Wolfgang Kimmerle, Universität Stuttgart, Alexander Konovalov, University of St Andrews
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On finite groups with small prime spectrum
pp 348-359
- By Anatoly S. Kondratiev, Institute of Mathematics and Mechanics, Igor V. Khramtsov, Institute of Mathematics and Mechanics
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Solvability criteria for finite loops and groups
pp 360-367
- By Emma Leppälä, University of Oulu
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The rational subset membership problem for groups: a survey
pp 368-389
- By Markus Lohrey, University of Siegen
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A survey of Milnor laws
pp 390-398
- By Olga MacEdońska, University of Technology
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Capable p-groups
pp 399-427
- By Arturo Magidin, University of Louisiana at Lafayette, Robert Fitzgerald Morse, University of Evansville
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On the normal structure of a finite group with restrictions on the maximal subgroups
pp 428-435
- By N.V. Maslova, Ural Federal University, D.O. Revin, Novosibirsk State University
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Certain monomial characters and their normal constituents
pp 436-438
- By Gabriel Navarro, Universitat de València, Carolina Vallejo, Universitat de València
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