On p-permutation equivalences between direct products of blocks

Published 20 Feb 2024 in math.GR | (2402.12751v1)

Abstract: We extend the notion of a p-permutation equivalence to an equivalence between direct products of block algebras. We prove that a p-permutation equivalence between direct products of blocks gives a bijection between the factors and induces a p-permutation equivalence between corresponding blocks.

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References (2)

R. Boltje, P. Perepelitsky: p𝑝pitalic_p-permutation equialences between blocks of group algebras. arXiv:2007.09253.
J. Rickard: Splendid equivalences: derived categories and permutation modules. Proceedings of the London Mathematical Society 72 (1996), 331–358.

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Authors (1)

Deniz Yılmaz

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