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math.RA2025
The Modular Isomorphism Problem over all fields
Leo Margolis, Taro Sakurai
The Modular Isomorphism Problem asks, if an isomorphism between modular group algebras of finite -groups over a field implies an isomorphism of the group bases. We explore t…
math.RA2024
Identification of non-isomorphic 2-groups with dihedral central quotient and isomorphic modular group algebras
Leo Margolis, Taro Sakurai
The question whether non-isomorphic finite -groups can have isomorphic modular group algebras was recently answered in the negative by García-Lucas, Margolis and del Río [J. Rei…