English

On stable equivalences with endopermutation source and K\"ulshammer--Puig classes

Representation Theory 2024-12-02 v1 Group Theory

Abstract

We give a new proof, by using the terminology and notation in the textbook \cite{Lin18b}, to a result, due to Puig, stating that a stable equivalence of Morita type between two block algebras of finite groups induced by a bimodule with an endopermutation source preserves K\"ulshammer--Puig classes.

Keywords

Cite

@article{arxiv.2411.19739,
  title  = {On stable equivalences with endopermutation source and K\"ulshammer--Puig classes},
  author = {Xin Huang},
  journal= {arXiv preprint arXiv:2411.19739},
  year   = {2024}
}
R2 v1 2026-06-28T20:16:51.710Z