# Groups St Andrews 2013: 422 (London Mathematical Society Lecture Note Series, Series Number 422)

Cambridge University Press

Edition: Illustrated, 10/22/2015

EAN 9781107514546, ISBN10: 1107514541

Paperback, 502 pages, 22.9 x 15.2 x 2.8 cm

Language: English

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.

Introduction C. M. Campbell and E. F. Robertson

1. Approximate subgroups and super-strong approximation Emmanuel Breuillard

2. Width questions for finite simple groups Martin W. Liebeck

3. Profinite properties of discrete groups Alan W. Reid

4. GL(n,Z), Out(Fn) and everything in between

automorphism groups of RAAGs Karen Vogtmann

5. Permutation groups and transformation semigroups

results and problems JoÃƒÂ£o AraÃƒÂºjo and Peter J. Cameron

6. New progress on factorized groups and subgroup permutability Milagros Arroyo-JordÃƒÂ¡, Paz Arroyo-JordÃƒÂ¡, Ana MartÃƒÂnez-Pastor and M. Dolores PÃƒÂ©rez-Ramos

7. A survey on the normalizer problem for integral group rings Andreas BÃƒÂ¤chle

8. A survey on CliffordÃ¢â‚¬â€œFischer Theory Ayoub B. M. Basheer and Jamshid Moori

9. A generalisation on the solvability of finite groups with three class sizes for normal subgroups Antonio BeltrÃƒÂ¡n and MarÃƒÂa JosÃƒÂ© Felipe

10. Automorphism groups of non-orientable Riemann surfaces E. Bujalance, F. J. Cirre, J. J. Etayo, G. Gromadzki and E. MartÃƒÂnez

11. What are the C2-groups? Inna Capdeboscq and Christopher Parker

12. Resurrecting Wells' exact sequence and Buckley's group action Jill Dietz

13. Recent work on Beauville surfaces, structures and groups Ben Fairbairn

14. Something for nothing

some consequences of the solution of the Tarski problems Benjamin Fine, Anthony Gaglione, Gerhard Rosenberger and Dennis Spellman

15. The groups of projectivities in finite planes Theo GrundhÃƒÂ¶fer

16. On the relation gap and relation lifting problem Jens Harlander

17. Some results on products of finite subsets in groups Marcel Herzog, Patrizia Longobardi and Mercede Maj

18. Formal languages and group theory Sam A. M. Jones and Richard M. Thomas

19. On the CastelnuovoÃ¢â‚¬â€œMumford regularity of the cohomology of fusion systems and of the Hochschild cohomology of block algebras Radha Kessar and Markus Linckelmann

20. Recent advances on torsion subgroups of integral group rings Wolfgang Kimmerle and Alexander Konovalov

21. On finite groups with small prime spectrum Anatoly S. Kondratiev and Igor V. Khramtsov

22. Solvability criteria for finite loops and groups Emma LeppÃƒÂ¤lÃƒÂ¤

23. The rational subset membership problem for groups

a survey Markus Lohrey

24. A survey of Milnor laws Olga MacedoÃ…â€žska

25. Capable p-groups Arturo Magidin and Robert Fitzgerald Morse

26. On the normal structure of a finite group with restrictions on the maximal subgroups N. V. Maslova and D. O. Revin

27. Certain monomial characters and their normal constituents Gabriel Navarro and Carolina Vallejo

28. Recognition of finite quasi-simple groups by the degrees of their irreducible representations Hung Ngoc Nguyen and Hung P. Tong-Viet

29. Generalized BaumslagÃ¢â‚¬â€œSolitar groups

a survey of recent progress Derek J. S. Robinson

30. Zeta functions of groups and rings Ã¢â‚¬â€œ recent developments Christopher Voll.