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math.GR2025
On the Chermak-Delgado lattice of a finite group
Ryan McCulloch, Marius Tărnăuceanu
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…
math.GR2018★ 10 cited
Two classes of finite groups whose Chermak-Delgado lattice is a chain of length zero
Ryan McCulloch, Marius Tărnăuceanu
It is an open question in the study of Chermak-Delgado lattices precisely which finite groups have the property that is a chain of length . In this note, we determin…