3 papers
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…
math.GR2025
On the Chermak-Delgado lattice of a finite group
Ryan McCulloch, Marius TÄrnÄuceanu
By imposing conditions upon the index of a self-centralizing subgroup of a group, and upon the index of the center of the group, we are able to classify the Chermak-Delgado lattice…