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Speaker:

Simon King
Affiliation:

Friedrich-Schiller-Universität Jena
Date:

Wed, 2019-07-24 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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