Finite groups with at most six subgroups not in the Chermak-Delgado lattice

Guojie Liu , Qiangwei Song

Electronic Research Archive ›› 2025, Vol. 33 ›› Issue (9) : 5769 -5775.

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Electronic Research Archive ›› 2025, Vol. 33 ›› Issue (9) :5769 -5775. DOI: 10.3934/era.2025256
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Finite groups with at most six subgroups not in the Chermak-Delgado lattice
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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 determine finite groups with at most six subgroups not in the Chermak-Delgado lattice.

Keywords

Chermak-Delgado lattice / subgroup lattice / finite groups / finite solvable groups / Sylow subgroups

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Guojie Liu, Qiangwei Song. Finite groups with at most six subgroups not in the Chermak-Delgado lattice. Electronic Research Archive, 2025, 33 (9) : 5769-5775 DOI:10.3934/era.2025256

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