Algebra Research Seminar: Talk by Dr. Anja Meyer (Loughborough)

Dr. Anja Meyer (Loughborough University) visited the Charlotte Scott Research Centre for Algebra to discuss maths. On 4 December 2024, Dr Meyer spoke in our Algebra Seminar about her work on the cohomology of finite matrix groups, reporting on recent developments.

Title of the talk: Finite Matrix Groups, Cohomology, and Stable Elements

Abstract:
In their 1956 book Cartan and Eilenberg show results that tell us that the modular cohomology of a finite group G is equal to the set of stable elements in the modular cohomology of a Sylow p-subgroup of G. In this talk we will look at the groups SL_2(Z/p^n) for n>1. Their cohomology is not yet known, however there is a way to obtain the cohomology, using a combination of tools from homological algebra, profinite group theory, and fusion systems. We will introduce the concepts used and show how they can facilitate the explicit computations.

About Yuri Santos

Mathematician at the University of Lincoln, UK.

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