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CATEGORIES:Algebra Seminar
SUMMARY:Embedding of PSL_2(q) in exceptional groups of Lie
type - Andrea Pachera\, Birmingham
DTSTART:20191022T150000Z
DTEND:20191022T160000Z
UID:TALK3958AT
URL:/talk/index/3958
DESCRIPTION:\nWe describe a technique used to construct groups
of type PSL_2(q) inside the finite exceptional gr
oup G(p)\, and count the number of conjugacy class
es. In some cases this gives information about the
embedding inG(\\mathbb{C})\, which can be used to
say something about the embedding in G(k) for a f
ield k of certain characteristic. \n\nAn example w
here this fails is Alt(6)\\simeq PSL_2(9)\; we bri
efly explain how it can be studied using the Dicks
on form on the E_6 natural module.\n\nThis work is
used to make progress in the classification of th
e maximal subgroups of exceptional groups of Lie t
ype.
LOCATION:Watson Building\, Lecture Room C
CONTACT:Chris Parker
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