Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Groups whose Chermak-Delgado lattice is a subgroup lattice of an
  elementary abelian $p$-group   The Chermak-Delgado lattice of a finite group $G$ is a self-dual sublattice
of the subgroup lattice of $G$. In this paper, we focus on finite groups whose
Chermak-Delgado lattice is a subgroup lattice of an elementary abelian
$p$-group. We prove that such groups are nilpotent of class $2$. We also prove
that, for any elementary abelian $p$-group $E$, there exists a finite group $G$
such that the Chermak-Delgado lattice of $G$ is a subgroup lattice of $E$.

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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
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The categories of this paper are: solv-int
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: eess