Manchester Algebra Seminar - Higher group cohomology and PSL(2,q) - Jack Saunders
| Dates: | 21 April 2020 |
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| Times: | 14:00 - 15:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, Current University students |
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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
Travel and Contact Information
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Zoom - online
Alan Turing Building
Manchester
