Abelian invariants and a reduction theorem for the modular isomorphism problem
Leo Margolis, Taro Sakurai, and Mima Stanojkovski
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Submission date: 20. Oct. 2021
MSC-Numbers: 16S34, 20C05, 20D15
Link to arXiv: See the arXiv entry of this preprint.
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.