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Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups (Paperback) Loot Price: R2,167
Discovery Miles 21 670
Repayment Terms: R203 pm x 12*
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Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups (Paperback): Cai-Heng Li,...

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

Cai-Heng Li, Binzhou Xia

Series: Memoirs of the American Mathematical Society

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Loot Price R2,167 Discovery Miles 21 670 | Repayment Terms: R203 pm x 12*

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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
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LSN: 1-4704-5383-5
Barcode: 9781470453831

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