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The atlas of finite groups, ten years on
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ISBN: 9780511565830 9780521575874 0511565836 9781107362451 1107362458 0521575877 9781139885249 1139885243 1107367360 1107371937 1107369347 1299404995 1107364906 Year: 1998 Volume: 249 Publisher: Cambridge, U.K. New York Cambridge University Press

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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.


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Finite and locally finite groups : proceedings of a Nato Advanced Study Institute ... held in Istanbul, Turkey, 14-27 August 1994
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ISBN: 0792336690 9401041458 9401103291 9780792336693 Year: 1995 Volume: 471

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Combinatorial and geometric group theory : Dortmund and Ottowa-Montreal Conferences
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ISBN: 3764399104 9786613076335 3764399112 1283076330 Year: 2010 Publisher: New York : Springer,

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This volume assembles several research papers in all areas of geometric and combinatorial group theory originated in the recent conferences in Dortmund and Ottawa in 2007. It contains high quality refereed articles developing new aspects of these modern and active fields in mathematics. It is also appropriate to advanced students interested in recent results at a research level.

Finite reductive groups: related structures and representations
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ISBN: 0817638857 3764338857 1461286646 1461241243 9780817638856 9783764338855 Year: 1997 Volume: 141 Publisher: Boston, Mass. Birkhäuser

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Finite reductive groups and their representations lie at the heart of goup theory. After representations of finite general linear groups were determined by Green (1955), the subject was revolutionized by the introduction of constructions from l-adic cohomology by Deligne-Lusztig (1976) and by the approach of character-sheaves by Lusztig (1985). The theory now also incorporates the methods of Brauer for the linear representations of finite groups in arbitrary characteristic and the methods of representations of algebras. It has become one of the most active fields of contemporary mathematics. The present volume reflects the richness of the work of experts gathered at an international conference held in Luminy. Linear representations of finite reductive groups (Aubert, Curtis-Shoji, Lehrer, Shoji) and their modular aspects Cabanes Enguehard, Geck-Hiss) go side by side with many related structures: Hecke algebras associated with Coxeter groups (Ariki, Geck-Rouquier, Pfeiffer), complex reflection groups (Broué-Michel, Malle), quantum groups and Hall algebras (Green), arithmetic groups (Vignéras), Lie groups (Cohen-Tiep), symmetric groups (Bessenrodt-Olsson), and general finite groups (Puig). With the illuminating introduction by Paul Fong, the present volume forms the best invitation to the field.


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Graphs, groups and surfaces
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ISBN: 0720426073 9780444104519 0444104518 9780080871189 0080871186 9780720426076 9780720426007 0720426006 0444105700 0720426081 1281984140 9786611984144 9780720426083 9780444105707 Year: 1973 Volume: v. 8 Publisher: Amsterdam : New York : North-Holland ; American Elsevier,

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