Factorizations of Almost Simple Groups With a Solvable Factor, and Cayley Graphs of Solvable Groups (Memoirs of the American Mathematical Society, 279)

Li, Cai-Heng; Xia, Binzhou

ISBN 10: 1470453835 / ISBN 13: 9781470453831

Published by Amer Mathematical Society

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Seller Inventory # 401055430

Bibliographic Details

• Title: Factorizations of Almost Simple Groups With a Solvable Factor, and Cayley Graphs of Solvable Groups (Memoirs of the American Mathematical Society, 279)
• Publisher: Amer Mathematical Society
• Language: English
• ISBN 10: 1470453835
• ISBN 13: 9781470453831
• Binding: Soft cover
• Condition: New

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Synopsis

Characterizing factorizations of almost simple groups with a solvable factor, Li and Xia conclude that there are only several infinite families of these non-trivial factorizations, and an almost simple group with such a factorization cannot have socle exceptional Lie type or orthogonal of minus type. They apply the characterization to study s-arc-transitive Cayley graphs of solvable groups, leading to a striking corollary that, except for cycles, a non-bipartite connected 3-arc transitive Cayley graph of a finite solvable group is necessarily a normal cover the Petersen graph or the Hoffman-Singleton graph. Annotation ©2022 Ringgold, Inc., Portland, OR (protoview.com)