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SUMMARY:Maximal subgroups of low-dimensional classical groups - Daniel Rog
 ers\, University of Warwick
DTSTART:20151030T150000Z
DTEND:20151030T160000Z
UID:TALK61648@talks.cam.ac.uk
CONTACT:Nicolas Dupré
DESCRIPTION:Understanding the maximal subgroups of a group gives us a lot 
 of insight into its structure. Aschbacher's Theorem gives us a classificat
 ion of maximal subgroups of classical groups into one of 9 possible classe
 s. The first eight of these are the "geometric type" subgroups and have be
 en fully classified by Kleidman and Liebeck. The ninth class\, denoted C_9
 \, consists of groups which are close to being simple\, and for various re
 asons 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.
LOCATION:CMS\, MR15
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