Showing 2026 · math.GRShow all
3 papers · 2 filters
math.GR2026
Groups with a Fixed Character Degree: The General Case
Mark Lewis, Brandon Martin
We obtain arithmetic conditions which are satisfied by solvable groups admitting an abelian -subgroup. First, we extend a previous characterization by removing the square-free h…
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
Groups with a conjugacy class that is the difference of two normal subgroups
Mark L. Lewis, Lucia Morotti, Emanuele Pacifici +2
We consider finite groups having a conjugacy class that is the difference of two normal subgroups. That is, suppose is a group and and are normal subgroups so that $N <…