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arXiv · 2408.09036

On commutative tensor factors of group algebras

Diego García-Lucas·Ángel del Río·Taro Sakurai
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Abstract

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. This extends previous work by Carlson and Kov\'acs for the commutative case and answers a question of them in some cases.

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Diego García-Lucas, Ángel del Río, Taro Sakurai. 2024-08-16. On commutative tensor factors of group algebras. https://doi.org/10.1007/s10468-026-10379-4

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