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Factorizations of Almost Simple Groups With a Solvable Factor, and Cayley Graphs of Solvable Groups - Brossura
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Characterizing factorizations of almost simple groups with a solvable factor, Li and Xia conclude 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. They apply the characterization 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 the Petersen graph or the Hoffman-Singleton graph. Annotation ©2022 Ringgold, Inc., Portland, OR (protoview.com)
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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. Condizione: 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. Codice articolo 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. Condizione: 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. Codice articolo 9781470453831
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Factorizations of Almost Simple Groups With a Solvable Factor, and Cayley Graphs of Solvable Groups
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