#### How to Order

For AMS eBook frontlist subscriptions or backfile collection purchases:

2. Complete and sign the license agreement.

3. Email, fax, or send via postal mail to:

Customer Services
American Mathematical Society
201 Charles Street Providence, RI 02904-2213  USA
Phone: 1-800-321-4AMS (4267)
Fax: 1-401-455-4046
Email: cust-serv@ams.org

Visit the AMS Bookstore for individual volume purchases.

Browse the current eBook Collections price list

# memo_has_moved_text();Irreducible geometric subgroups of classical algebraic groups

Timothy C. Burness, Soumaïa Ghandour and Donna M. Testerman

Publication: Memoirs of the American Mathematical Society
Publication Year: 2016; Volume 239, Number 1130
ISBNs: 978-1-4704-1494-8 (print); 978-1-4704-2743-6 (online)
DOI: http://dx.doi.org/10.1090/memo/1130
Published electronically: June 9, 2015
Keywords:Classical algebraic group; disconnected maximal subgroup; irreducible triple

View full volume PDF

View other years and numbers:

Chapters

• Chapter 1. Introduction
• Chapter 2. Preliminaries
• Chapter 3. The $\C _1, \C _3$ and $\C _6$ collections
• Chapter 4. Imprimitive subgroups
• Chapter 5. Tensor product subgroups, I
• Chapter 6. Tensor product subgroups, II

### Abstract

Let $G$ be a simple classical algebraic group over an algebraically closed field $K$ of characteristic $p ≥0$ with natural module $W$. Let $H$ be a closed subgroup of $G$ and let $V$ be a non-trivial irreducible tensor-indecomposable $p$-restricted rational $KG$-module such that the restriction of $V$ to $H$ is irreducible. In this paper we classify the triples $(G,H,V)$ of this form, where $H$ is a disconnected maximal positive-dimensional closed subgroup of $G$ preserving a natural geometric structure on $W$.