Factorizations of Almost Simple Groups With a Solvable Factor, and Cayley Graphs of Solvable Groups (Memoirs of the American Mathematical Society, 279)
Language: English
Published by Amer Mathematical Society
- Softcover
- New

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In English.
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- Title
- Factorizations of Almost Simple Groups With a Solvable Factor, and Cayley Graphs of Solvable Groups (Memoirs of the American Mathematical Society, 279)
- Author
- Li, Cai-Heng; Xia, Binzhou
- Publisher
- Amer Mathematical Society
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 1470453835
- ISBN 13
- 9781470453831
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)
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Ria Christie Collections
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