학술논문

The Chermak-Delgado Measure as a Map on Posets
Document Type
Working Paper
Source
Subject
Mathematics - Group Theory
Primary 20D30, 20E15
Language
Abstract
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 the Chermak-Delgado measure of a group is actually a map of posets, i.e., a monotone function from the subgroup lattice to the positive integers. We also investigate when the Chermak-Delgado measure, restricted to the centralizers, is increasing.