The Atlas of Finite Groups - Ten Years On

Proceedings containing twenty articles by leading experts in group theory and its applications.

R. T. Curtis (Edited by), R. A. Wilson (Edited by)

9780521575874, Cambridge University Press

Paperback, published 11 June 1998

312 pages
22.8 x 15.2 x 1.8 cm, 0.435 kg

'The book is an important addition to the literature …'. European Mathematical Society

The Atlas of Finite Groups by J. H. Conway, R. A. Parker, S. P. Norton and the editors of this book, was published in 1985, and has proved itself to be an indispensable tool to all researchers in group theory and many related areas. The present book is the proceedings of a conference organised to mark the 10th anniversary of the publication of the Atlas, and contains twenty articles by leading experts in the field, covering many aspects of group theory and its applications. There are surveys on recent developments, expository articles, and research papers, as well as a historical article on the development of the Atlas project since 1970. The book emphasises recent advances in group theory and applications which have been stimulated by the comprehensive collection of information contained in the Atlas, and covers both theoretical and computational aspects of finite groups, modular representation theory, presentations, and applications to the study of surfaces.

1. Symmetric presentations and orthogonal groups C. M. Campbell, G. Havas, S. A. Linton and E. F. Robertson
2. A constructive recognition algorithm for the special linear group F. Celler and C. R. Leedham-Green
3. Relations in M666 J. H. Conway and C. S. Simons
4. A survey of symmetric generation of sporadic simple groups R. T. Curtis
5. Harish-Chandra theory, q-Schur algebras, and decomposition matrices for finite classical groups G. Hiss
6. The Meataxe as a tool in computational group theory D. F. Holt
7. Branching rules for modular projective representations of the symmetric groups J. F. Humphreys
8. Characters and surfaces: a survey G. A. Jones
9. On the characterization of finite groups by characters W. Kimmerle
10. Finite linear groups of small degree A. S. Kondratiev
11. Minimal parabolic systems for the symmetric and alternating groups W. Lempken, C. Parker and P. Rowley
12. Probabilistic methods in the generation of finite simple groups M. W. Liebeck and A. Shalev
13. Condensing tensor product modules K. Lux and M. Wiegelmann
14. Intersections of Sylow subgroups in finite groups V. Mazurov and V. I. Zenkov
15. Anatomy of the monster S. P. Norton
16. An integral 'Meat-axe' R. A. Parker
17. Finite rational matrix groups: a survey W. Plesken
18. Chamber graphs of sporadic group geometries P. Rowley
19. An Atlas of sporadic group representations R. A. Wilson
20. Presentations of reductive Fischer groups F. Zara
21. Historical remarks J. H. Conway, R. T. Curtis and R. A. Wilson.

Subject Areas: Groups & group theory [PBG]