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OverviewA 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. Full Product DetailsAuthor: Cai-Heng Li , Binzhou XiaPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.363kg ISBN: 9781470453831ISBN 10: 1470453835 Pages: 99 Publication Date: 30 November 2022 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationCai-Heng Li, Southern University of Science and Technology, Guandong, China. Binzhou Xia, The University of Melbourne, Parkville, Australia. Tab Content 6Author Website:Countries AvailableAll regions |
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