University of Cambridge > Talks.cam > Junior Algebra/Logic/Number Theory seminar > Maximal subgroups of low-dimensional classical groups

Maximal subgroups of low-dimensional classical groups

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  • UserDaniel Rogers, University of Warwick
  • ClockFriday 30 October 2015, 15:00-16:00
  • HouseCMS, MR15.

If you have a question about this talk, please contact Nicolas Dupré.

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.

This talk is part of the Junior Algebra/Logic/Number Theory seminar series.

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