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
Publisher: Amer Mathematical Society

Synopsis

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)

"synopsis" may belong to another edition of this title.

Publisher
Amer Mathematical Society
Language
English
ISBN 10 
1470453835
ISBN 13 
9781470453831
Binding
Paperback
Number of pages
99