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

Cai-Heng Li (author) & Binzhou Xia (author)

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

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.

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

About the Author

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

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

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

Publisher
American Mathematical Society
Publication date
2022
Language
English
ISBN 10 
1470453835
ISBN 13 
9781470453831
Binding
Paperback
Number of pages
99