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CATEGORIES:Junior Algebra and Number Theory seminar
SUMMARY:Maximal subgroups of low-dimensional classical gro
ups - Daniel Rogers\, University of Warwick
DTSTART;TZID=Europe/London:20151030T150000
DTEND;TZID=Europe/London:20151030T160000
UID:TALK61648AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/61648
DESCRIPTION:Understanding the maximal subgroups of a group giv
es us a lot of insight into its structure. Aschbac
her's Theorem gives us a classification of maximal
subgroups of classical groups into one of 9 possi
ble classes. The first eight of these are the "geo
metric type" subgroups and have been fully classif
ied by Kleidman and Liebeck. The ninth class\, den
oted C_9\, consists of groups which are close to b
eing simple\, and for various reasons are much har
der to classify in full generality. In this talk I
will explain the general process by which one det
ermines 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 compo
sition factor A_6.
LOCATION:CMS\, MR15
CONTACT:Nicolas DuprÃ©
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