Published on *Max Planck Institute for Mathematics* (https://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Simon King
Affiliation:

Friedrich-Schiller-Universität Jena
Date:

Wed, 2019-07-24 15:30 - 16:00 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.

**Links:**

[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] https://www.mpim-bonn.mpg.de/node/3444

[3] https://www.mpim-bonn.mpg.de/node/9501