The Chermak–Delgado measure of a subgroup of a finite group is defined as . The subgroups with maximal Chermak–Delgado measure form a poset and corresponding lattice, known as the CD-lattice of . We describe the symmetric nature of CD-lattices in general, and use information about centrally large subgroups to determine the CD-lattices of split metacyclic -groups in particular. We also describe a rank-symmetric sublattice of the CD-lattice of split metacyclic -groups.
Involve
9(5):
765-782
(2016).
DOI: 10.2140/involve.2016.9.765