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Periodic and compact subgroups of topological groups

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Literature Cited

  1. E. Bolker, Inverse limits of solvable groups, Proc. Am. Math. Soc.,14, No. 1, 147–152 (1963).

    Google Scholar 

  2. C. Chevalley, Theory of Lie Groups [Russian translation], IL, Moscow (1958), Vol. 3.

    Google Scholar 

  3. D. Dantzig, Zur topologischen Algebra. III. Comp. Math.,3, 408–426 (1936).

    Google Scholar 

  4. W. Feit and I. Thompson, A solvability criterion for finite groups, Proc. Nat. Acad. Sci., USA,48, 968–970 (1962).

    Google Scholar 

  5. V. M. Glushkov, Locally nilpotent locally bicompact groups. Trudy. Mosk. Matem. obshch.,4, 291–332 (1962).

    Google Scholar 

  6. M. I. Graev, Theory of topological groups, Uspekhi matem. nauk,2, No. 1, 3–56 (1950).

    Google Scholar 

  7. K. Iwasawa, On some types of topological groups, Ann. Math.,50, No. 3, 507–558 (1949).

    Google Scholar 

  8. A. G. Kurosh, Sylow subgroups of zero-dimensional topological groups. Izv. Akad. Nauk SSSR, ser. matem.,9, 65–78 (1945).

    Google Scholar 

  9. A. I. Malcey, On the theory of Lie groups in the large, Matem. sb.,16, No. 2, 163–190 (1945).

    Google Scholar 

  10. G. Mostow, Self-adjoint groups, Ann. Math.,62, No. 1, 44–56 (1955).

    Google Scholar 

  11. V. P. Platonov, Periodic and locally nilpotent subgroups of topological groups, Dokl. Akad. Nauk SSSR,158, No. 3, 524–527 (1964).

    Google Scholar 

  12. V. P. Platonov, Certain classes of topological groups, Dokl. Akad. Nauk SSSR,158, No. 4, 784–787 (1964).

    Google Scholar 

  13. V. P. Platonov, Periodic subgroups of algebraic groups, Dokl. Akad. Nauk SSSR,153, No. 2, 270–272 (1963).

    Google Scholar 

  14. V. P. Platonov, Theory of topological groups, Dokl. Akad. Nauk SSSR,162, No. 4, 755–759 (1965).

    Google Scholar 

  15. V. P. Platonov, Theory of algebraic linear groups and periodic groups. Izv. Akad. Nauk SSSR, ser. matem.,30, No. 3 (1966).

  16. V. P. Platonov, Locally projectively nilpotent topological groups and groups with the normalizer condition, Dokl. Akad. Nauk BeISSR,8, No. 12, 767–771 (1964).

    Google Scholar 

  17. L. Pontryagin, Continuous Groups [in Russian], Fizmatgiz, Moscow (1954).

    Google Scholar 

  18. I. Schur, Über Gruppen periodischer linearer Substitutionen, Sitzungsber. Pruss. Akad. Wiss., 619–626 (1911).

  19. S. Eilenberg and N. Steenrod, Foundations of Algebraic Topology [Russian translation], Fizmatgiz, Moscow (1958).

    Google Scholar 

  20. Theory of Lie Algebras, Topology of Lie Groups (“S. Lie” Seminar) [Russian translation], IL, Moscow (1962).

  21. A. Weil, Integration of Topological Groups and Applications [Russian translation], IL, Moscow (1950).

    Google Scholar 

  22. H. Yamabe, On conjecture of Iwasawa and Gleason, Ann. Math.,58, No. 1, 48–54 (1953).

    Google Scholar 

  23. H. Yamabe, A generalization of a theorem of Gleason, Ann. Math.,58, No. 2, 351–365 (1953).

    Google Scholar 

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Authors
  1. V. P. Platonov
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 7, No. 4, pp. 854–877, July–August, 1966.

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Platonov, V.P. Periodic and compact subgroups of topological groups. Sib Math J 7, 681–697 (1966). https://doi.org/10.1007/BF00973265

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  • DOI: https://doi.org/10.1007/BF00973265

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