Factorizations of Almost Simple Groups With a Solvable Factor, and Cayley Graphs of Solvable Groups (Memoirs of the American Mathematical Society, 279) - Softcover

Li, Cai-Heng; Xia, Binzhou

 
9781470453831: Factorizations of Almost Simple Groups With a Solvable Factor, and Cayley Graphs of Solvable Groups (Memoirs of the American Mathematical Society, 279)
Softcover
ISBN 10: 1470453835 ISBN 13: 9781470453831
Verlag: American Mathematical Society, 2022

Inhaltsangabe

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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Über die Autorin bzw. den Autor

Cai-Heng Li, Southern University of Science and Technology, Guandong, China.

Binzhou Xia, The University of Melbourne, Parkville, Australia.

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Verlag
American Mathematical Society
Erscheinungsdatum
2022
Sprache
Englisch
ISBN 10 
1470453835
ISBN 13 
9781470453831
Einband
Taschenbuch
Anzahl der Seiten
99
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