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Speaker:
Simon King
Affiliation:
Friedrich-Schiller-Universität Jena
Date:
Wed, 24/07/2019 - 15:30 - 16:00
Location:
MPIM Lecture Hall
Parent event:
SageMath presentation afternoon (Wednesday July 24th) The p_group_cohomology package for SageMath is able to compute the mod-2 cohomology rings of all groups of order 128
and the mod-p cohomology of the Third Conway group and some other sporadic groups. We will explain the underlying
algorithm (non-commutative F5 algorithm for modules over path algebras) and demonstrate its usage.
This program led to the classification of the cohomology rings of all p-groups of order up to 81 (order 64
being the most interesting) in terms of graded ring isomorphisms.
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