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Research Article | Open Access

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

Guojie Liu, Qiangwei Song( )
School of Mathematical Sciences, Shanxi Normal University, Taiyuan 030031, China
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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 latticesubgroup latticefinite groupsfinite solvable groupsSylow subgroups

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Electronic Research Archive
Volume 33 Issue 9,
September 2025
Pages 5769-5775
DOI: 10.3934/era.2025256

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Cite this article:
Liu G, Song Q. Finite groups with at most six subgroups not in the Chermak-Delgado lattice. Electronic Research Archive, 2025, 33(9): 5769-5775. https://doi.org/10.3934/era.2025256

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Received: 05 August 2025
Revised: 15 September 2025
Accepted: 18 September 2025
Published: 25 September 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)