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Abelian group; bounded group; simple extension

References:

[1] Fuchs L.: **Abelian Groups**. Budapest: Publishing House of the Hungarian Academy of Sciences 1958, Pergamon Press, London, third edition, reprinted 1967. MR 0106942 | Zbl 1265.06054

[2] Gabriyelyan S.S.: **Finitely generated subgroups as a von Neumann radical of an Abelian group**. Mat. Stud. 38 (2012), 124–138. MR 3057998

[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. MR 0012301

[5] 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. MR 0012300

[6] Nienhuys J.W.: **Constructions of group topologies on abelian groups**. Fund. Math. 75 (1972), 101–116. MR 0302810