Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups (Paperback)

A characterization is given for the factorizations of almost simple groups with a solvable factor. It turns out 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. The characterization is then applied 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 of the Petersen graph or the Ho?man-Singleton graph.

General

Imprint:	American Mathematical Society
Country of origin:	United States
Series:	Memoirs of the American Mathematical Society
Release date:	December 2022
Authors:	Cai-Heng Li • Binzhou Xia
Dimensions:	254 x 178mm (L x W)
Format:	Paperback
Pages:	99
ISBN-13:	978-1-4704-5383-1
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
LSN:	1-4704-5383-5
Barcode:	9781470453831

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