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math.RA2021
Abelian invariants and a reduction theorem for the modular isomorphism problem
Leo Margolis, Taro Sakurai, Mima Stanojkovski
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…
math.RA2021
Non-isomorphic 2-groups with isomorphic modular group algebras
Diego García, Leo Margolis, Ángel del Río
We provide non-isomorphic finite 2-groups which have isomorphic group algebras over any field of characteristic 2, thus settling the Modular Isomorphism Problem.