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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) - Tapa blanda

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)
Tapa blanda
ISBN 10: 1470453835 ISBN 13: 9781470453831
Editorial: American Mathematical Society, 2022

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

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

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

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2022
Idioma
Inglés
ISBN 10 
1470453835
ISBN 13 
9781470453831
Encuadernación
Tapa blanda
Número de páginas
99
Contacto del fabricante
no disponible
Persona responsable
no disponible