Some generalizations of slender Abelian groups
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New classes of Abelian groups are introduced. They are generalizations of the class of slender groups. We characterize groups that belong to the new classes with the help of subgroups and direct products. We study some general properties of these classes as well.
KeywordsAbelian Group Prime Number Cyclic Group Surjective Homomorphism Bounded Group
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- 5.V. I. Kuzminov and I. Shvedov, “On completion of Abelian groups in P-topology,” Algebra Logika, 9, No. 4, 436–457 (1970).Google Scholar
- 6.L. S. Pontryagin, Topological Groups, Gordon and Breach, New York (1966).Google Scholar
- 8.S. V. Rychkov, “Abelian test groups and their applications,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 8, 29–39 (1984).Google Scholar