Finite groups with few subgroups not in the Chermak-Delgado lattice

For a finite group G, we denote by v(G) the number of conjugacy classes of subgroups of G not in CD(G). In this paper, we determine the finite groups G such that v(G)=1,2,3.

Publication Details

Journal
ArXiv.org
Published
2025-04-19
Primary Topic
Finite Group Theory Research
Type
article
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article

Finite groups with few subgroups not in the Chermak-Delgado lattice

ArXiv.org
Finite Group Theory Research
article

Finite groups with few subgroups not in the Chermak-Delgado lattice

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Abstract

For a finite group G, we denote by v(G) the number of conjugacy classes of subgroups of G not in CD(G). In this paper, we determine the finite groups G such that v(G)=1,2,3.

ArXiv.org
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Finite Group Theory Research
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Finite groups with few subgroups not in the Chermak-Delgado lattice · ArXiv.org (2025) | TGRS Research Map | TGRS