Del i serien Memoirs of the American Mathematical Society
Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups
Häftad, Engelska, 2022
1 329 kr
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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.
Produktinformation
- Utgivningsdatum2022-11-30
- Mått178 x 254 x undefined mm
- Vikt363 g
- FormatHäftad
- SpråkEngelska
- SerieMemoirs of the American Mathematical Society
- Antal sidor99
- FörlagAmerican Mathematical Society
- ISBN9781470453831
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