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OverviewIn this paper, we complete the determination of the maximal subgroups of positive dimension in simple algebraic groups of exceptional type over algebraically closed fields. This follows work of Dynkin, who solved the problem in characteristic zero, and Seitz who did likewise over fields whose characteristic is not too small. A number of consequences are obtained. It follows from the main theorem that a simple algebraic group over an algebraically closed field has only finitely many conjugacy classes of maximal subgroups of positive dimension. It also follows that the maximal subgroups of sufficiently large order in finite exceptional groups of Lie type are known. Full Product DetailsAuthor: Martin Liebeck , Gary M. SeitzPublisher: American Mathematical Society Imprint: American Mathematical Society Edition: illustrated edition Volume: No. 169 Weight: 0.433kg ISBN: 9780821834824ISBN 10: 0821834827 Pages: 227 Publication Date: 30 March 2004 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsIntroduction Preliminaries Maximal subgroups of type $A_1$ Maximal subgroups of type $A_2$ Maximal subgroups of type $B_2$ Maximal subgroups of type $G_2$ Maximal subgroups $X$ with rank$(X)\geq3$ Proofs of Corollaries 2 and 3 Restrictions of small $G$-modules to maximal subgroups The tables for Theorem 1 and Corollary 2 Appendix: $E_8$ structure constants References.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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