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arXiv · 2605.14095

The category of centralizer lattices of groups

William Cocke·Mark L. Lewis·Ryan McCulloch
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Abstract

We formalize the concept of a centralizer-respecting homomorphism, surjective homomorphisms which are equivariant with respect to taking the centralizer of a subgroup. There is a functor from the category of centralizer-respecting homomorphisms to the category of centralizer lattices. Finally, we conclude with some theorems about centralizer-respecting homomorphisms that show that the category of centralizer-respecting homomorphisms has many interesting maps.

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William Cocke, Mark L. Lewis, Ryan McCulloch. 2026-05-13. The category of centralizer lattices of groups. https://arxiv.org/abs/2605.14095

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