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Daniel Rogers, University of Warwick
Friday 30 October 2015, 15:00-16:00
Maximal subgroups of low-dimensional classical groups
- 👤 Speaker: Daniel Rogers, University of Warwick
- 📅 Date & Time: Friday 30 October 2015, 15:00 - 16:00
- 📍 Venue: CMS, MR15
Abstract
Understanding the maximal subgroups of a group gives us a lot of insight into its structure. Aschbacher’s Theorem gives us a classification of maximal subgroups of classical groups into one of 9 possible classes. The first eight of these are the “geometric type” subgroups and have been fully classified by Kleidman and Liebeck. The ninth class, denoted C_9, consists of groups which are close to being simple, and for various reasons are much harder to classify in full generality. In this talk I will explain the general process by which one determines the maximal subgroups in this class for a given classical group, and in particular we will find all classical groups and their almost simple extensions which contain a C_9 subgroup with composition factor A_6.
Series This talk is part of the Junior Algebra and Number Theory seminar series.
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