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Estimate of the rank of connected locally compact Nilpotent groups

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Literature cited

  1. V. S. Charin, “Groups of finite rank, I,” Ukr. Mat. Zh.,16, No. 2, 212–219 (1964).

    Google Scholar 

  2. Yu. N. Mukhin and E. N. Starukhina, “Groups of finite rank,” in: Mat. Zap. Uralsk. Univ., Vol. 9, No. 1, Sverdlovsk (1974), pp. 56–60.

    Google Scholar 

  3. Z. I. Moskalenko, “On the rank of connected locally compact groups,” Ukr. Mat. Zh.,28, No. 3, 325–333 (1976).

    Google Scholar 

  4. N. N. Myagkova, “Groups of finite rank,” Izv. Akad. Nauk SSSR, Ser. Mat.,13, 495–512 (1949).

    Google Scholar 

  5. A. A. Kirillov, Elements of the Theory of Representations Nauka, Moscow (1972), p. 336.

    Google Scholar 

  6. S. P. Khomenko, “On root extraction in a topological group,” in: Eleventh Algebraic Colloquium, Summary of Addresses and Reports [in Russian], Kishinev (1971), p. 98.

  7. Z. I. Moskalenko, “Exponential groups and ML-groups,” Ukr. Mat. Zh.,28, No. 4, 501–510 (1976).

    Google Scholar 

  8. M. Hall, Theory of Groups, Macmillan, New York (1959).

    Google Scholar 

  9. V. M. Glushkov, “Some questions in the theory of nilpotent and locally nilpotent torsion-free groups,” Mat. Sb.,30, No. 1, 79–104 (1952).

    Google Scholar 

  10. A. I. Mal'tsev, “On a class of homogeneous spaces,” Izv. Akad. Nauk SSSR, Ser. Mat.,13, No. 1, 9–32 (1949).

    Google Scholar 

  11. Z. I. Moskalenko, “Locally compact Abelian groups of finite rank,” Ukr. Mat. Zh.,22, No. 2, 174–181 (1970).

    Google Scholar 

  12. V. M. Glushkov, “Locally nilpotent locally compact groups,” Tr. Mosk. Mat. O-va,4, 291–332 (1955).

    Google Scholar 

  13. A. G. Kurosh, Group Theory, Chelsea Publ.

  14. Z. I. Moskalenko, Condition for finite rank of locally compact solvable groups,” Ukr. Mat. Zh.,28, No. 5, 639–645 (1976).

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 29, No. 3, pp. 333–343, May–June, 1977.

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Moskalenko, Z.I. Estimate of the rank of connected locally compact Nilpotent groups. Ukr Math J 29, 251–259 (1977). https://doi.org/10.1007/BF01104471

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  • DOI: https://doi.org/10.1007/BF01104471

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