Groups, Combinatorics and Geometry

“Groups, Combinatorics and Geometry” by Martin W. Liebeck, published by Cambridge University Press on September 10, 1992, is a comprehensive volume comprising 489 pages. This book presents a collection of papers that emerged from the 1990 Durham conference, focusing on the advancements in the classification of finite simple groups and the subsequent research developments in the field.
Readers will find a diverse range of topics within this work, including sporadic groups, local and geometric methods in group theory, and finite permutation groups. The material is organized into eight sections, each addressing significant areas of research and progress in group theory, combinatorics, and geometry. The contributions from various authors highlight the fascinating developments that have taken place in these mathematical disciplines, making this volume a valuable resource for mathematicians engaged in these fields.
Official synopsis Publisher
Since the classification of finite simple groups was announced in 1980 the subject has continued to expand opening many new areas of research. This volume contains a collection of papers, both survey and research, arising from the 1990 Durham conference in which the excellent progress of the decade was surveyed and new goals considered. The material is divided into eight sections: sporadic groups; moonshine; local and geometric methods in group theory; geometries and related groups; finite and algebraic groups of Lie type; finite permutation groups; further aspects of Lie groups; related topics. The list of contributors is impressive and the subjects covered include many of the fascinating developments in group theory that have occurred in recent years. It will be an invaluable document for mathematicians working in group theory, combinatorics and geometry.
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