Factorizations Almost Simple Groups by Cai Heng Binzhou (14 results)
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Paperback. Condition: New. 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.…
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Paperback. Condition: Brand New. 99 pages. 7.01x0.77x10.00 inches. In Stock.
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Condition: New. 2022. paperback. . . . . .
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Paperback. Condition: New. 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.…
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Condition: gut. 2022. Factorizations of Almost Simple Groups With a Solvable Factor, and Cayley Graphs of Solvable Groups (Memoirs of the American Mathematical Society, 279) In englischer Sprache. pages.
