Abelian invariants and a reduction theorem for the modular isomorphism problem

Leo Margolis, Taro Sakurai, and Mima Stanojkovski

Contact the author: Please use for correspondence this email.
Submission date: 20. Oct. 2021
Pages: 26
Bibtex
MSC-Numbers: 16S34, 20C05, 20D15
Link to arXiv: See the arXiv entry of this preprint.

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 p-group. Finally, we apply our results to new classes of groups.