Groups whose Chermak-Delgado lattice is a subgroup lattice of an abelian group. (English) Zbl 1515.20104
Summary: The Chermak-Delgado lattice of a finite group \(G\) is a self-dual sublattice of the subgroup lattice of \(G\). In this paper, we prove that, for any finite abelian group \(A\), there exists a finite group \(G\) such that the Chermak-Delgado lattice of \(G\) is a subgroup lattice of \(A\).
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