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math.GR2022★ 4 cited
On groups with few subgroups not in the Chermak-Delgado lattice
David Burrell, William Cocke, Ryan McCulloch
We investigate the question of how many subgroups of a finite group are not in its Chermak-Delgado lattice. The Chermak-Delgado lattice for a finite group is a self-dual lattice of…
math.GR2022
Central Products and the Chermak-Delgado Lattice
William Cocke, Ryan McCulloch
The Chermak-Delgado lattice of a finite group is a modular, self-dual sublattice of the lattice of subgroups. We prove that the Chermak-Delgado lattice of a central product contain…