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Manchester Algebra Seminar - Higher group cohomology and PSL(2,q) - Jack Saunders

Dates:21 April 2020
Times:14:00 - 15:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, Current University students
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  • Department of Mathematics

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  • In group "(Maths) Algebra"
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Speaker: Jack Saunders - University of Birmingham

Title: Higher group cohomology and PSL(2,q)

Abstract: Given a finite group G acting irreducibly on a vector space V, the first cohomology group H1(G,V) corresponds to conjugacy classes of complements to V in the semidirect product V \rtimes G and H2(G,V) to equivalence classes of group extensions of G by V. A little is known about the size of H1 in various cases, but what about H2 or higher? In this talk, we give a brief overview of some bounds for the dimension of cohomology for groups of Lie type, along with a new general result and some results about the cohomology of PSL(2,q).

Time: 2pm

Place: Zoom

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Kieran Calvert

kieran.calvert@manchester.ac.uk

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