2 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.GR2024
Exponent-Critical Groups
Simon R. Blackburn, William Cocke, Andrew Misseldine +1
We define and investigate the property of being `exponent-critical' for a finite group. A finite group is said to be exponent-critical if its exponent is not the least common multi…