Abelian invariants and a reduction theorem for the modular isomorphism problem
Rings and Algebras
2023-09-25 v3
Abstract
We show that elementary abelian direct factors can be disregarded in the study of the modular isomorphism problem. Moreover, we obtain four new series of abelian invariants of the group base in the modular group algebra of a finite -group. Finally, we apply our results to new classes of groups.
Cite
@article{arxiv.2110.10025,
title = {Abelian invariants and a reduction theorem for the modular isomorphism problem},
author = {Leo Margolis and Taro Sakurai and Mima Stanojkovski},
journal= {arXiv preprint arXiv:2110.10025},
year = {2023}
}
Comments
24 pages, proof of Theorem 2.4 modified from previous version