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

JOURNAL OF ALGEBRA

卷:452

Article

关键词: Graded associative algebra;    Isomorphism test;    Modular cohomology of finite groups;   

DOI  :  10.1016/j.jalgebra.2015.10.019

来源: Elsevier

【 摘 要 】

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. (C) 2015 Published by Elsevier Inc.

【 授权许可】

Free