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Groups whose Chermak–Delgado lattice is a subgroup lattice of an abelian group
Published online by Cambridge University Press: 17 June 2022
Abstract
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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- © The Author(s), 2022. Published by Cambridge University Press on behalf of The Canadian Mathematical Society
Footnotes
This work was supported by NSFC (Grant No. 11971280).
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