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Low dimensional cohomology of finite groups

Presented by: 
Derek Holt
Date: 
Tuesday 7th January 2020 - 15:00 to 16:00
Venue: 
INI Seminar Room 1
Abstract: 
Algorithms for computing the 1- and 2-cohomology of finite groups acting on finite dimensional modules will be discussed.

Applications to finding subgroups of finite groups and to classifying transitive permutation groups of low degree will be described.

We also describe briefly methods for computing the projective indecomposable modules of finite groups over finite fields, and their application to computing higher cohomology groups.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons