On Commutative Tensor Factors of Group Algebras

Algebras and Representation Theory 2026 Open access

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Authors: Diego García-Lucas, Ángel del Rı́o, Taro Sakurai
DOI: 10.1007/s10468-026-10379-4
Cited by: 0
References: 8

Abstract

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.

Fields of Study & Subjects

Advanced Topics in Algebra Finite Group Theory Research Algebraic and Geometric Analysis

Publication details

Journal / source
Algebras and Representation Theory
Publisher
Springer Science and Business Media LLC
Volume
29
Issue
1
Pages
153–160
Publication date
1 February 2026
Language
EN