# Abelian invariants and a reduction theorem for the modular isomorphism problem

@inproceedings{Margolis2021AbelianIA, title={Abelian invariants and a reduction theorem for the modular isomorphism problem}, author={Leo Margolis and Taro Sakurai and Mima Stanojkovski}, year={2021} }

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. Introduction Given a field F of positive characteristic p and a finite p-group G, the modular group algebra FG of G over F plays a fundamental role in studying linear representations of G over F . The…

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