Maximal PSL2 Subgroups of Exceptional Groups of Lie Type - Couverture souple

Craven, David A.

Couverture souple

ISBN 10 : 1470451190 ISBN 13 : 9781470451196

Editeur : American Mathematical Society, 2022

Synopsis

We study embeddings of PSL2(pa) into exceptional groups G(pb)forG = F4,E6,2E6,E7,andp aprimewitha,b positive integers. With a few possible exceptions, we prove that any almost simple group with socle PSL2(pa), that is maximal inside an almost simpleexceptional group of Lie type F4, E6, 2E6 and E7, is the fixed points under the Frobenius map of a corresponding maximal closed subgroup of type A1 inside the algebraic group. Together with a recent result of Burness and Testerman for p the Coxeter number plus one, this proves that all maximal subgroups with socle PSL2(pa) inside these finite almost simple groups are known, with three possible exceptions (pa = 7, 8,25 for E7). In the three remaining cases we provide considerable information about a potential maximal subgroup.

A propos du livre

À propos de l'auteur

David A. Craven, University of Birmingham, United Kingdom.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2022
• Langue: anglais
• ISBN 10: 1470451190
• ISBN 13: 9781470451196
• Reliure: Broché
• Nombre de pages: 155
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible