Factorizations of Almost Simple Groups With a Solvable Factor, and Cayley Graphs of Solvable Groups - Couverture souple

Li, Cai-Heng; Xia, Binzhou

 
9781470453831: Factorizations of Almost Simple Groups With a Solvable Factor, and Cayley Graphs of Solvable Groups
Couverture souple
ISBN 10 : 1470453835 ISBN 13 : 9781470453831
Editeur : 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

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

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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2022
Langue
anglais
ISBN 10 
1470453835
ISBN 13 
9781470453831
Reliure
Broché
Nombre de pages
99
Coordonnées du fabricant
non disponible
Personne responsable
non disponible