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math.GR2026
The category of centralizer lattices of groups
William Cocke, Mark L. Lewis, Ryan McCulloch
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 f…
math.GR2026
Finite groups with many elements of the same order
Ryan McCulloch, Lee Tae Young
We study a conjecture by Deaconescu on the solubility of finite groups with claims that if more than half of the elements in a finite group has the same order , then the group i…