English

Acceptability of classical groups in non-zero characteristic

Group Theory 2023-03-03 v1

Abstract

A group GG is called to be acceptable (due to M. Larsen) if for any finite group HH, two element-conjugate homomorphisms are globally conjugate. We answer the acceptability question for general linear, special linear, unitary, symplectic and all orthogonal groups over an algebraically closed field of non-zero characteristics.

Keywords

Cite

@article{arxiv.2303.01133,
  title  = {Acceptability of classical groups in non-zero characteristic},
  author = {Saikat Panja},
  journal= {arXiv preprint arXiv:2303.01133},
  year   = {2023}
}

Comments

Preliminary version, comments are welcome

R2 v1 2026-06-28T08:56:35.317Z