Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Groups Whose Chermak-Delgado Lattice is a Chain   For a finite group G with subgroup H the Chermak-Delgado measure of H in G
refer to the product of the order of H with the order of its centralizer,
C_G(H). The set of all subgroups with maximal Chermak-Delgado measure form a
sublattice, CD(G), within the subgroup lattice of G. This paper examines
conditions under which the Chermak-Delgado lattice is a chain of subgroups. On
the basis of a general result how to extend certain Chermak-Delgado lattices,
we construct for any prime p and any non-negative integer n a p-group whose
Chermak-Delgado lattice is a chain of length n.

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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: nlin