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Topological groups close to groups of rank 1

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Literature cited

  1. V. A. Khoteev and V. S. Charin, “Groups with the minimum condition for subgroups,” Mat. Zametki,2, No. 1, 3–10 (1967).

    Google Scholar 

  2. S. N. Chernikov, “Locally solvable groups satisfying the minimum condition for subgroups,” Mat. Sb.,28, No. 1, 119–129 (1951).

    Google Scholar 

  3. V. M. Glushkov, “Locally bicompact groups with the minimum condition for closed subgroups,” Ukr, Mat. Zh.,8, No. 2, 135–139 (1956).

    Google Scholar 

  4. V. S., Charin, “Locally bicompact, locally solvable groups with the minimum condition for subgroups,” Mat. Zap. Ural'sk. Un-ta,3, No. 3, 55–59 (1962).

    Google Scholar 

  5. V. M. Poletskikh, “Some types of groups of rank 1,” Ukr. Mat. Zh.,27, No. 2, 272–276 (1975).

    Google Scholar 

  6. V. I. Ushakov, “Bicompactly generated groups,” Usp. Mat. Nauk,19, No. 1, 179–182 (1964).

    Google Scholar 

  7. J. Mycielski, “Some properties of connected compact groups,” Colloq. Math.,5, No. 2, 162–166 (1963).

    Google Scholar 

  8. V. S. Charin, “Groups of finite rank. II,” Ukr. Mat. Zh.,18, No. 3, 85–96 (1966).

    Google Scholar 

  9. V. I. Ushakov, “Topological groups with the normalizer condition for closed subgroups,” Izv. Akad. Nauk SSSR, Ser. Mat.,27, No. 4, 943–948 (1963).

    Google Scholar 

  10. S. N. Chernikov, “Complete groups possessing an ascending central series,” Mat. Sb.,18, 397–422 (1946).

    Google Scholar 

  11. V. S. Charin, “Topological ZA-groups satisfying the minimum condition for closed subgroups,” Usp. Mat. Nauk,16, No. 5, 209–214 (1961).

    Google Scholar 

  12. V. M. Poletskikh, “Layer-compact Abelian groups,” Ukr. Mat. Zh.,23, No. 1, 15–24 (1971).

    Google Scholar 

  13. A. I. Mal'tsev, “On certain classes of infinite solvable groups,” Mat. Sb.,28, 567–588 (1951).

    Google Scholar 

  14. D. M. Smirnov, “Groups of automorphisms of solvable groups,” Mat. Sb.,32, No. 2, 365–385 (1953).

    Google Scholar 

  15. P. S. Aleksandrov and P. S. Urysohn, Memoir on Compact Topological Spaces [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  16. N. Ya. Bilenkin, “Theory of topological groups. II,” Usp. Mat. Nauk,5, No. 4, 19–75 (1950).

    Google Scholar 

  17. V. M. Glushkov, “Locally nilpotent, locally bicompact groups,” Trudy Moskovsk. Mat. O-va,4, 291–332 (1955).

    Google Scholar 

  18. P. Hall, “Nilpotent groups,” Matematika, Sb. Perevod. (Collected Translations),12, No. 1, 3–36 (1968).

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 28, No. 6, pp. 772–781, November–December, 1976.

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Poletskikh, V.M. Topological groups close to groups of rank 1. Ukr Math J 28, 593–600 (1976). https://doi.org/10.1007/BF01094126

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  • DOI: https://doi.org/10.1007/BF01094126

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