Items related to Maximal $textrm {PSL}_2$ Subgroups of Exceptional Groups...

Maximal $textrm {PSL}_2$ Subgroups of Exceptional Groups of Lie Type (Memoirs of the American Mathematical Society) - Softcover

David A. Craven (author)

 
9781470451196: Maximal $textrm {PSL}_2$ Subgroups of Exceptional Groups of Lie Type (Memoirs of the American Mathematical Society)
Softcover
ISBN 10: 1470451190 ISBN 13: 9781470451196
Publisher: 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.

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About the Author

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

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

Publisher
American Mathematical Society
Publication date
2022
Language
English
ISBN 10 
1470451190
ISBN 13 
9781470451196
Binding
Paperback
Number of pages
277