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arXiv · 2212.06766

Homomorphism Conjugacy versus Centralizer Actions in the Symmetric Group

Suleika Norrbom
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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.

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Suleika Norrbom. 2022-12-13. Homomorphism Conjugacy versus Centralizer Actions in the Symmetric Group. https://arxiv.org/abs/2212.06766

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