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SUMMARY:Finite Matrix Groups\; Cohomology and Stable Elements - Anja Meyer
 \, University of Loughborough
DTSTART:20250521T153000Z
DTEND:20250521T163000Z
UID:TALK231604@talks.cam.ac.uk
CONTACT:Adam Jones
DESCRIPTION: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 se
 t 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 obta
 in the cohomology\, using a combination of tools from homological algebra
 \, profinite group theory\, and fusion systems. We will introduce the conc
 epts used and show how they can facilitate the explicit computations\, wit
 h p=3 as worked example.
LOCATION:MR12
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