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<p>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.</p>

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On Commutative Tensor Factors of Group Algebras

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月6日

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  • Diego García-Lucas,
  • Ángel del Río,
  • Taro Sakurai

摘要

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.