Linear conjugacy
Representation Theory
2019-11-13 v1 Group Theory
Rings and Algebras
Abstract
We say that two elements of a group or semigroup are -linear conjugates if their images under any linear representation over are conjugate matrices. In this paper we characterize -linear conjugacy for finite semigroups (and, in particular, for finite groups) over an arbitrary field .
Cite
@article{arxiv.1807.09321,
title = {Linear conjugacy},
author = {Benjamin Steinberg},
journal= {arXiv preprint arXiv:1807.09321},
year = {2019}
}