skip to content

Mathematical Research at the University of Cambridge

 

In their 1956 book Cartan and Eilenberg present results which 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 and p any odd prime. 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, with p=3 as worked example.

Further information

Time:

21May
May 21st 2025
16:30 to 17:30

Venue:

MR12

Speaker:

Anja Meyer, University of Loughborough

Series:

Algebra and Representation Theory Seminar