Advertisement

Ukrainian Mathematical Journal

, Volume 28, Issue 5, pp 495–500 | Cite as

Finiteness of the rank of locally compact solvable groups

  • Z. I. Moskalenko
Article
  • 19 Downloads

Keywords

Solvable Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    V. S. Charin, “Groups of finite rank. II,” Ukr. Mat. Zh.,18, No. 3, 85–96 (1966).Google Scholar
  2. 2.
    Z. I. Moskalenko, “Locally compact supersolvable groups,” Ukr. Mat. Zh.,25, No. 2, 235–247 (1973).Google Scholar
  3. 3.
    Z. I. Moskalenko, “The rank of connected Lie groups,” Dopovidi Akad. Nauk UkrRSR, Ser. A, No. 1, 39–41 (1974).Google Scholar
  4. 4.
    Z. I. Moskalenko, “The rank of connected locally compact groups,” Ukr. Mat. Zh.,28, No. 3, 325–333 (1976).Google Scholar
  5. 5.
    N. N. Myagkova, “Groups of finite rank,” Izv. Akad. Nauk SSSR, Ser. Matem.,13, No. 6, 495–512 (1949).Google Scholar
  6. 6.
    V. M. Glushkov, “The structure of locally bicompact groups and Hilbert's fifth problem,” Usp. Mat. Nauk,12, No. 2(74), 3–41 (1957).Google Scholar
  7. 7.
    Z. I. Moskalenko, “Exponential groups and ML-groups,” Ukr. Mat. Zh.,28, No. 4, 501–510 (1976).Google Scholar
  8. 8.
    A. G. Kurosh, Theory of Groups [in Russian], Nauka, Moscow (1967).Google Scholar
  9. 9.
    V. S. Charin, “Groups of finite rank. I,” Ukr. Mat. Zh.,16, No. 2, 212–219 (1964).Google Scholar
  10. 10.
    V. M. Glushkov, “Lie algebras of locally bicompact groups,” Usp. Mat. Nauk,12, No. 2(74), 137–142 (1957).Google Scholar
  11. 11.
    B. I. Plotkin, Groups of Automorphisms of Algebraic Systems [in Russian], Nauka, Moscow (1966).Google Scholar

Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • Z. I. Moskalenko
    • 1
  1. 1.Scientific-Research and Technological Design Institute of Urban EconomyMinistry of the Municipal Economy. Ukrainian SSRUkraine

Personalised recommendations