Factorizations of almost simple groups with a solvable factor, and Cayley graphs of solvable groups
著者
書誌事項
Factorizations of almost simple groups with a solvable factor, and Cayley graphs of solvable groups
（Memoirs of the American Mathematical Society, no. 1375）
American Mathematical Society, c2022
大学図書館所蔵 全3件
注記
"September 2022, volume 279, number 1375 (fourth of 6 numbers)"
Includes bibliographical references (p. 97-99)
内容説明・目次
内容説明
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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