On the Chermak–Delgado Measure of a Finite Group
Given a finite group G , we denote by L ( G ) the subgroup lattice of G and by C D ( G ) the Chermak–Delgado lattice of G . In this note, we study finite groups G such that the set L G of subgroups of G with minimum Chermak–Delgado measure forms a sublattice of L ( G ).
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| Veröffentlicht in: | Resultate der Mathematik 2024-02, Vol.79 (1), Article 44 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Given a finite group
G
, we denote by
L
(
G
) the subgroup lattice of
G
and by
C
D
(
G
)
the Chermak–Delgado lattice of
G
. In this note, we study finite groups
G
such that the set
L
G
of subgroups of
G
with minimum Chermak–Delgado measure forms a sublattice of
L
(
G
). |
|---|---|
| ISSN: | 1422-6383 1420-9012 |
| DOI: | 10.1007/s00025-023-02080-5 |