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Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups (Memoirs of the American Mathematical Society) - Softcover
Synopsis
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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About the Author
Cai-Heng Li, Southern University of Science and Technology, Guandong, China.
Binzhou Xia, The University of Melbourne, Parkville, Australia.
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Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups (eng)
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Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups
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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. Seller Inventory # LU-9781470453831
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Factorizations of Almost Simple Groups With a Solvable Factor, and Cayley Graphs of Solvable Groups
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Factorizations of Almost Simple Groups With a Solvable Factor, and Cayley Graphs of Solvable Groups
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Factorizations of Almost Simple Groups With a Solvable Factor, and Cayley Graphs of Solvable Groups
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Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups (Paperback)
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Paperback. Condition: new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781470453831
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Factorizations of Almost Simple Groups With a Solvable Factor, and Cayley Graphs of Solvable Groups
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Factorizations of Almost Simple Groups With a Solvable Factor, and Cayley Graphs of Solvable Groups
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