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math.GR2025
A Möbius function on the centralizer lattice
William Cocke, Mark L. Lewis, Ryan McCulloch
We consider the Möbius function on the poset of element centers and obtain some new results regarding centralizers in a -group.
math.GR2024
The Chermak-Delgado Measure as a Map on Posets
William Cocke, Ryan McCulloch
The Chermak-Delgado measure of a finite group is a function which assigns to each subgroup a positive integer. In this paper, we give necessary and sufficient conditions for when t…