On the Chermak–Delgado Lattice of a Finite Group
Loading...
Authors
McCulloch, Ryan
Tărnăuceanu, Marius
Issue Date
2019-05-30
Type
Article
Language
en_US
Keywords
Chermak-Delgado measure , Chermak-Delgado lattice , Chermak-Delgado subgroup , Subgroup lattice , Dicyclic group , Metabelian group
Alternative Title
Abstract
By imposing conditions upon the index of a self-centralizing sub-group of a group, and upon the index of the center of the group, we are able to classify the Chermak-Delgado lattice of the group. This is our main result. We use this result to classify the Chermak-Delgado lattices of dicyclic groups and of metabelian p-groups of maximal class.
Description
Citation
Ryan McCulloch & Marius Tărnăuceanu (2020) On the Chermak–Delgado lattice of a finite group, Communications in Algebra, 48:1, 37-44, DOI: 10.1080/00927872.2019.1632326
Publisher
Taylor and Francis