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Hacettepe Journal of Mathematics and Statistics· 2026Q2

Finite p-groups with at most p^2+p subgroups not in Chermak-Delgado lattice

Guojie Liu, Haipeng Qu

Short summary

This paper identifies finite p-groups that have at most p^2+p subgroups outside their Chermak-Delgado lattice.

AI-generated from the title and abstract; the full text is not read.

Key points

  • The study identifies finite p-groups based on the number of subgroups not present in their Chermak-Delgado lattice.
  • The identified groups are those with at most p^2+p subgroups excluded from the Chermak-Delgado lattice.
  • The Chermak-Delgado lattice is a self-dual sublattice of a finite group's subgroup lattice.

AI-generated from the title and abstract; the full text is not read.

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 p-groups with at most p^2+p subgroups not in Chermak-Delgado lattice.

The authors' abstract, as published at the source. Hacettepe Journal of Mathematics and Statistics, 2026 · DOI ↗

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Field: Discrete Mathematics and Combinatorics

Discrete Mathematics and CombinatoricsMathematics