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El. knyga: Groups St Andrews 2017 in Birmingham

Edited by (University of St Andrews, Scotland), Edited by (University of St Andrews, Scotland), Edited by (University of St Andrews, Scotland), Edited by (University of Birmingham), Edited by (University of St Andrews, Scotland)
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Every four years leading researchers gather to survey the latest developments in all aspects of group theory. Initially held in St Andrews, these meetings have become the premier forum for group theory across the whole of the UK. Since 1981, the proceedings of 'Groups St Andrews' 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 papers from the 2017 meeting held in Birmingham. It includes expository articles from the invited speakers, and further surveys contributed by the participants. Topics include: generation of finite simple groups, block theory, fusion systems, algebraic groups, one-relator groups, geometric group theory, and Beauville groups.

This volume arises from the 2017 edition of the long-running 'Groups St Andrews' conference series and consists of expository papers from leading researchers in all areas of group theory. It provides a snapshot of the state-of-the-art in the field, and it will be a valuable resource for researchers and graduate students.

Recenzijos

''This volume does what the editors intended: it provides a 'snapshot of the state of the art in group theory'. It can serve as a reference work for group theorists, and since many of the articles include open problems, can serve as a source of research topics as well.' Charles Traina, MAA Reviews

Daugiau informacijos

These proceedings of 'Groups St Andrews 2017' provide a snapshot of the state-of-the-art in contemporary group theory.
Introduction vii
Finite simple groups and fusion systems
1(15)
Michael Aschbacher
Finite and infinite quotients of discrete and indiscrete groups
16(54)
Pierre-Emmanuel Caprace
Local-global conjectures and blocks of finite simple groups
70(36)
Radha Kessar
Gunter Malle
A survey on some methods of generating finite simple groups
106(13)
Ayoub B. M. Basheer
Jamshid Moori
One-relator groups: an overview
119(39)
Gilbert Baumslag
Benjamin Fine
Gerhard Rosenberger
New progress in products of conjugacy classes in finite groups
158(11)
Antonio Beltran
Maria Jose Felipe
Carmen Melchor
Aspherical relative presentations all over again
169(31)
William A. Bogley
Martin Edjvet
Gerald Williams
Simple groups, generation and probabilistic methods
200(30)
Timothy C. Burness
Irreducible subgroups of simple algebraic groups -- a survey
230(31)
Timothy G. Burness
Donna M. Testerman
Practical computation with linear groups over infinite domains
261(10)
A. S. Detinko
D. L. Flannery
Beauville p-groups: a survey
271(18)
Ben Fairbairn
Structural criteria in factorised groups via conjugacy class sizes
289(11)
Maria Jose Felipe
Ana Martinez-Pastor
Victor Manuel Ortiz-Sotomayor
Growth in linear algebraic groups and permutation groups: towards a unified perspective
300(46)
Harold A. Helfgott
L2-Betti numbers and their analogues in positive characteristic
346(60)
Andrei Jaikin-Zapirain
On the pronormality of subgroups of odd index in finite simple groups
406(13)
Anatoly S. Kondrat'ev
Natalia Maslova
Danila Kevin
Vertex stabilizers of graphs with primitive automorphism groups and a strong version of the Sims conjecture
419(8)
Anatoly S. Kondrat'ev
Vladimir I. Trofimov
On the character degrees of a Sylow p-subgroup of a finite Chevalley group G(pf) over a bad prime
427(16)
Tung Le
Kay Magaard
Alessandro Paolini
Patterns on symmetric Riemann surfaces
443(12)
Adnan Melekoglu
David Singerman
Subgroups of twisted wreath products
455(14)
Peter P. Palfy
Some remarks on self-dual codes invariant under almost simple permutation groups
469(17)
B. G. Rodrigues
T. M. Mudziiri Shumba
Test elements: from pro-p to discrete groups
486
Rir Snopce
Slobodan Tanushevski
C. M. Campbell is Honorary Reader in the School of Mathematics and Statistics at the University of St Andrews, Scotland. He has co-organised ten Groups St Andrews conferences. M. R. Quick is Senior Lecturer in the School of Mathematics and Statistics at the University of St Andrews, Scotland. He has co-organised four Groups St Andrews conferences, and he is Deputy Convener of the Proceedings of the Edinburgh Mathematical Society. C. W. Parker is Professor in the School of Mathematics at the University of Birmingham. He is Editor-in-Chief of the Journal of Group Theory. E. F. Robertson is Professor Emeritus in the School of Mathematics and Statistics at the University of St Andrews, Scotland. C. M. Roney-Dougal is Professor in the School of Mathematics and Statistics at the University of St Andrews, Scotland. She is an editor of the Proceedings of the Royal Society of Edinburgh, Section A and a frequent guest on BBC Radio 4's In Our Time.