On extensions of bounded subgroups in Abelian groups

Commentationes Mathematicae Universitatis Carolinae

Volumn 55, Issue 2, 2014, Pages 175-188

  Gabriyelyan, S S ^a  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

Abelian group; Bounded group; Simple extension

Indexed keywords

EID: 84898486363     PISSN: 00102628     EISSN: 12137243     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. Fuchs L., Abelian Groups, Budapest: Publishing House of the Hungarian Academy of Sciences 1958, Pergamon Press, London, third edition, reprinted 1967.
2. Gabriyelyan S.S., Finitely generated subgroups as a von Neumann radical of an Abelian group, Mat. Stud. 38 (2012), 124-138.
3. Gabriyelyan S.S., Bounded subgroups as a von Neumann radical of an Abelian group,preprint.
4. Markov A.A., On free topological groups, Izv. Akad. Nauk SSSR Ser. Mat. 9 (1945), 3-64 (in Russian); English transl. in: Amer. Math. Soc. Transl. (1) 8 (1962), 195-272.
5. English transl. in: Amer. Math. Soc. Transl. (1) 8 (1962), 195-272
6. Markov A.A., On the existence of periodic connected topological groups, Izv. Akad. Nauk SSSR Ser. Mat. 8 (1944), 225-232 (in Russian); English transl. in: Amer. Math. Soc. Transl.(1) 8 (1962), 186-194.
7. English transl. in: Amer. Math. Soc. Transl.(1) 8 (1962), 186-194
8. Nienhuys J.W., Constructions of group topologies on abelian groups, Fund. Math. 75 (1972), 101-116.