Solitary subgroups of Abelian groups
Copyright policy )Solitary subgroups of Abelian groups
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.
- National Research University of Electronic Technology Russian Federation
- Tomsk State Pedagogical University Russian Federation
- Babeș-Bolyai University Romania
Torsion-free groups, finite rank, инвариантные подгруппы, solitary subgroup, Subgroups of abelian groups, сильно инвариантные подгруппы, кохопфовы абелевы группы, strongly invariant subgroup, Mixed groups, co-Hopfian abelian group, Torsion groups, primary groups and generalized primary groups, одиночные подгруппы, strictly invariant subgroup
Torsion-free groups, finite rank, инвариантные подгруппы, solitary subgroup, Subgroups of abelian groups, сильно инвариантные подгруппы, кохопфовы абелевы группы, strongly invariant subgroup, Mixed groups, co-Hopfian abelian group, Torsion groups, primary groups and generalized primary groups, одиночные подгруппы, strictly invariant subgroup
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