Printer Friendly

The reductive subgroups of F4.

9780821883327

The reductive subgroups of F4.

Stewart, David I.

American Mathematical Society

2012

88 pages

$69.00

Memoirs of the American Mathematical Society; 1049

QA174

If G=G(K) is a simple algebraic group defined over an algebraically closed field K of characteristic p being zero or more, says Stewart (mathematics, U. of Oxford), then a subgroup X of G is said to be G-completely reducible if, whenever it is contained in a parabolic subgroup of G, it is contained in a Levi subgroup of that parabolic. He considers the case G=F4(K) and finds amongst its classifications infinite varieties of subgroups X of G that are maximal among all reductive subgroups of G but not maximal subgroups of G, and therefore not contained in any reductive maximal subgroup of G. There is no index.

([c] Book News, Inc., Portland, OR)

COPYRIGHT 2013 Book News, Inc.
No portion of this article can be reproduced without the express written permission from the copyright holder.
Copyright 2013 Gale, Cengage Learning. All rights reserved.

Article Details
Printer friendly Cite/link Email Feedback
Publication:Reference & Research Book News
Article Type:Book review
Date:Jun 1, 2013
Words:142
Previous Article:The poset of k-shapes and branching rules for k-Schur functions.
Next Article:Characterization and topological rigidity of Nobeling manifolds.
Topics:

Terms of use | Privacy policy | Copyright © 2018 Farlex, Inc. | Feedback | For webmasters