Maximal subgroups of low-dimensional classical groups

Add to your list(s) Download to your calendar using vCal

• Daniel Rogers, University of Warwick
• Friday 30 October 2015, 15:00-16:00
• CMS, 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 and Number Theory seminar series.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• CMS, MR15
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Hanchen DaDaDash
• Interested Talks
• Junior Algebra and Number Theory seminar
• School of Physical Sciences
• bld31
• ndb35's list

Note that ex-directory lists are not shown.