Homomorphism Conjugacy versus Centralizer Actions in the Symmetric Group
Group Theory
2022-12-14 v1 Representation Theory
Abstract
We explore when generator-conjugate homomorphisms are conjugate and when element-conjugate homomorphisms are conjugate from abelian or dihedral groups to the symmetric group. We completely determine when such homomorphisms are conjugate in the case where the source group has two generators by studying centralizer actions in the target group.
Cite
@article{arxiv.2212.06766,
title = {Homomorphism Conjugacy versus Centralizer Actions in the Symmetric Group},
author = {Suleika Norrbom},
journal= {arXiv preprint arXiv:2212.06766},
year = {2022}
}