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El. knyga: Groups St Andrews 2013

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 St Andrews, Scotland)
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Every four years, leading researchers gather to survey the latest developments in all aspects of group theory. This volume contains selected papers from the 2013 meeting, covering a wide spectrum of modern group theory.

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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Leading researchers survey the latest developments in group theory and many related areas.
Approximate subgroups and super-strong approximation
1(50)
Emmanuel Breuillard
Width questions for finite simple groups
51(22)
Martin W. Liebeck
Profinite properties of discrete groups
73(32)
Alan W. Reid
GL(n, Z), Out(Fn) and everything in between: automorphism groups of RAAGs
105(23)
Karen Vogtmann
Permutation groups and transformation semigroups: results and problems
128(14)
Joao Araujo
Peter J. Cameron
New progress on factorized groups and subgroup permutability
142(10)
Milagros Arroyo-Jorda
Paz Arroyo-Jorda
Ana Martinez-Pastor
M. Dolores Perez-Ramos
A survey on the normalizer problem for integral group rings
152(8)
Andreas Bachle
A survey on Clifford-Fischer theory
160(13)
Ayoub B.M. Basheer
Jamshid Moori
A generalisation on the solvability of finite groups with three class sizes for normal subgroups
173(10)
Antonio Beltran
Maria Jose Felipe
Automorphism groups of non-orientable Riemann surfaces
183(11)
E. Bujalance
F.J. Cirre
J.J. Etayo
G. Gromadzki
E. Martinez
What are the C2-groups?
194(15)
Inna Capdeboscq
Christopher Parker
Resurrecting Wells' exact sequence and Buckley's group action
209(16)
Jill Dietz
Recent work on Beauville surfaces, structures and groups
225(17)
Ben Fairbairn
Something for nothing: some consequences of the solution of the Tarski problems
242(29)
Benjamin Fine
Anthony Gaglione
Gerhard Rosenberger
Dennis Spellman
The groups of projectivities in finite planes
271(7)
Theo Grundhofer
On the relation gap and relation lifting problem
278(8)
Jens Harlander
Some results on products of finite subsets in groups
286(20)
Marcel Herzog
Patrizia Longobardi
Mercede Maj
Formal languages and group theory
306(18)
Sam A.M. Jones
Richard M. Thomas
On the Castelnuovo-Mumford regularity of the cohomology of fusion systems and of the Hochschild cohomology of block algebras
324(7)
Radha Kessar
Markus Linckelmann
Recent advances on torsion subgroups of integral group rings
331(17)
Wolfgang Kimmerle
Alexander Konovalov
On finite groups with small prime spectrum
348(12)
Anatoly S. Kondratiev
Igor V. Khramtsov
Solvability criteria for finite loops and groups
360(8)
Emma Leppala
The rational subset membership problem for groups: a survey
368(22)
Markus Lohrey
A survey of Milnor laws
390(9)
Olga Macedonska
Capable p-groups
399(29)
Arturo Magidin
Robert Fitzgerald Morse
On the normal structure of a finite group with restrictions on the maximal subgroups
428(8)
N.V. Maslova
D.O. Revin
Certain monomial characters and their normal constituents
436(3)
Gabriel Navarro
Carolina Vallejo
Recognition of finite quasi-simple groups by the degrees of their irreducible representations
439(18)
Hung Ngoc Nguyen
Hung P. Tong-Viet
Generalized Baumslag-Solitar groups: a survey of recent progress
457(12)
Derek J.S. Robinson
Zeta functions of groups and rings -- recent developments
469
Christopher Voll
C. M. Campbell is an Honorary Reader in the School of Mathematics and Statistics at the University of St Andrews and has co-organised all nine of the Groups St Andrews conferences. He has authored more than 90 research articles and he served as President of the Edinburgh Mathematical Society from 2005 to 2007. M. R. Quick is a Senior Lecturer in Pure Mathematics at the University of St Andrews and has co-organised three Groups St Andrews conferences. He is currently Editor of the Proceedings of the Edinburgh Mathematical Society and he has authored more than twenty research papers. E. F. Robertson is Professor Emeritus at the University of St Andrews. He has published over 120 research papers and written more than twenty books. During his career Professor Robertson has co-organised ten major international Group Theory conferences and received fourteen major research grants totalling over one million pounds. He also served as Chairman of the British Mathematical Colloquium Scientific Committee from 2005 to 2008. C. M. Roney-Dougal is Reader in Pure Mathematics at the University of St Andrews. She has produced over thirty academic publications and has jointly organised seven international workshops and conferences. Professor Roney-Dougal serves as an editorial advisor for the London Mathematical Society Journal of Computation and Mathematics. She also makes regular appearances on 'In Our Time' with Melvyn Bragg (BBC Radio 4).
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