Vetenskap & teknik
Pocket
Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups
Cai-Heng Li • Binzhou Xia
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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.
- Format: Pocket/Paperback
- ISBN: 9781470453831
- Språk: Engelska
- Antal sidor: 99
- Utgivningsdatum: 2022-11-30
- Förlag: American Mathematical Society