On Commutative Tensor Factors of Group Algebras
Abstract We prove that any tensor product factorization with a commutative tensor 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 Kovács for the commutative case and answers one of their questions in certain cases.
Authors
- Diego García-Lucas (ORCID: https://orcid.org/0000-0001-6250-187X)
- Taro Sakurai (ORCID: https://orcid.org/0000-0003-0608-1852)
Institutions
- Chiba University (JP)
- Universidade de Santiago de Compostela (ES)
- Universidad de Murcia (ES)
Publication Details
- Journal
- Algebras and Representation Theory
- Published
- 2026-02-01
- DOI
- https://doi.org/10.1007/s10468-026-10379-4
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Agencia Estatal de Investigación