Subgroups of abelian groups - Open Access .click

Expositiones Mathematicae, 2021
A subgroup \(K\) of an abelian group \(G\) is called solitary if \(G\) contains no other subgroup isomorphic to \(K\). The paper is dedicated to the study of solitary subgroups for some important classes of abelian groups. Complete descriptions are presented in Theorem 3 and Theorem 4.
Călugăreanu, Grigore, Chekhlov, Andrey R. +1 more
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On Groups Saturated with Abelian Subgroups

International Journal of Algebra and Computation, 1998
Groups with the weak maximal condition on non-abelian subgroups are the main subject of this research. Locally finite groups with this property are abelian or Chemikov. Non-abelian groups with the weak maximal condition on non-abelian subgroups, which have an ascending series of normal subgroups with locally nilpotent or locally finite factors, are ...
Lev S. Kazarin +2 more
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Coverings of Groups by Abelian Subgroups

Canadian Journal of Mathematics, 1978
Paul Erdôs has suggested an investigation of infinite groups from the point of view of the partition relations of set theory. In particular, he suggested that given a group G, one considers the graph T with vertex set G whose edges are the pairs ﹛g, h﹜ which do not commute.
Faber, V., Laver, R., McKenzie, R.
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abelian groups
finite nilpotent groups, \ p\ -groups
group theory

abelian group
special subgroups frattini, fitting, etc.
16. peace & justice

subgroup theorems subgroup growth
torsion-free groups, finite rank
fos: mathematics