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arXiv · 1503.04666

The isomorphism problem for graded algebras and its application to mod-p cohomology rings of small p-groups

Bettina Eick·Simon King
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Abstract

The mod-p cohomology ring of a non-trivial finite p-group is an infinite dimensional, finitely presented graded unital algebra over the field with p elements, with generators in positive degrees. We describe an effective algorithm to test if two such algebras are graded isomorphic. As application, we determine all graded isomorphisms between the mod-p cohomology rings of all p-groups of order at most 100.

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Bettina Eick, Simon King. 2015-03-16. The isomorphism problem for graded algebras and its application to mod-p cohomology rings of small p-groups. https://arxiv.org/abs/1503.04666

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