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FINITE GROUPS WITH LARGE CHERMAK–DELGADO LATTICES
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 107 / Issue 3 / June 2023
- Published online by Cambridge University Press:
- 25 August 2022, pp. 451-455
- Print publication:
- June 2023
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- Article
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Given a finite group G, we denote by
$L(G)$
the subgroup lattice of G and by
${\cal CD}(G)$
the Chermak–Delgado lattice of G. In this note, we determine the finite groups G such that
$|{\cal CD}(G)|=|L(G)|-k$
, for
$k=1,2$
.
