2 papers
math.RT2024
On commutative tensor factors of group algebras
Diego García-Lucas, Ángel del Río, Taro Sakurai
We prove that any tensor product factorization with a commutative factor of a modular group algebra over a prime field comes from a direct product decomposition of the group basis.…
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.