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Maximal $/textrm {PSL}_2$ Subgroups of Exceptional Groups of Lie Type (Paperback) Loot Price: R2,223
Discovery Miles 22 230
Maximal $/textrm {PSL}_2$ Subgroups of Exceptional Groups of Lie Type (Paperback): David A. Craven

Maximal $/textrm {PSL}_2$ Subgroups of Exceptional Groups of Lie Type (Paperback)

David A. Craven

Series: Memoirs of the American Mathematical Society

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Loot Price R2,223 Discovery Miles 22 230 | Repayment Terms: R208 pm x 12*

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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 simple exceptional 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.

General

Imprint: American Mathematical Society
Country of origin: United States
Series: Memoirs of the American Mathematical Society
Release date: June 2022
Authors: David A. Craven
Dimensions: 254 x 178mm (L x W)
Format: Paperback
Pages: 155
ISBN-13: 978-1-4704-5119-6
Categories: Books > Science & Mathematics > Mathematics > Algebra > General
Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
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LSN: 1-4704-5119-0
Barcode: 9781470451196

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