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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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Group theory --- Eindige groepen --- Finite groups --- Groepen [Eindige ] --- Groupes finis --- Groups [Finite ] --- Congresses. --- Finite groups - Congresses.
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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 groups -- Congresses. --- Group theory -- Congresses. --- Mathematics. --- Combinatorial group theory --- Geometric group theory --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Combinatorial groups --- Groups, Combinatorial --- Group theory. --- Group Theory and Generalizations. --- Groups, Theory of --- Substitutions (Mathematics) --- Math --- Science --- Group theory --- Combinatorial analysis
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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.
Group theory --- Representations of groups --- Finite groups --- Congresses --- Group theory. --- Associative rings. --- Rings (Algebra). --- Algebraic geometry. --- Group Theory and Generalizations. --- Associative Rings and Algebras. --- Algebraic Geometry. --- Algebraic geometry --- Geometry --- Algebraic rings --- Ring theory --- Algebraic fields --- Rings (Algebra) --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Representations of groups - Congresses --- Finite groups - Congresses
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Finite groups Æ72
Group theory --- Graph theory. --- Group theory. --- Combinatorial topology. --- Groupes, Théorie des --- Finite groups --- Congresses. --- Groupes finis --- Groupes, Théorie des. --- Graph theory --- Combinatorial topology --- Théorie des graphes --- Théorie des groupes --- Topologie combinatoire --- Operator theory --- Discrete mathematics --- Congresses --- Groupes, Théorie des --- Graphes, Théorie des --- Variétés topologiques --- Finite groups - Congresses --- Probleme du coloriage --- Groupes, Théorie des.
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