On p-permutation equivalences between direct products of blocks

Year 2025, Early Access, 1 - 5

Deniz Yılmaz

https://doi.org/10.15672/hujms.1439414

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.

Keywords

block, p-permutation equivalence, trivial source modules

References

• [1] R. Boltje and P. Perepelitsky, p-permutation equialences between blocks of group algebras, arXiv:2007.09253.