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arXiv · 2503.12300

On the Chermak-Delgado lattice of a finite group

Ryan McCulloch·Marius Tărnăuceanu
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Abstract

By imposing conditions upon the index of a self-centralizing subgroup 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.

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Ryan McCulloch, Marius Tărnăuceanu. 2025-03-16. On the Chermak-Delgado lattice of a finite group. https://arxiv.org/abs/2503.12300

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