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On the commutability of subgroups of a finite group

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Literature Cited

  1. O. Ore, Contributions to the Theory of Groups of Finite Order Duke Math. J.,5, 431–460. (1939).

    Google Scholar 

  2. N. Ito and J. Szep, Über die Quasinormalteiler von endlichen Gruppen. Acta Sci. Math. Sz.,23, 168–170 (1962).

    Google Scholar 

  3. O. H. Kegel, Sylov-Gruppen und Subnormalteiler endlicher Gruppen, Math. Zeits,78, 205–221 (1962).

    Google Scholar 

  4. O. H. Kegel, Produkte nilpotenter Gruppen, Arch. Math.,12, 90–93 (1961).

    Google Scholar 

  5. H. Wielandt, Sylowgruppen und Kompositions-Struktur, Abh. Math. Sem. Univ. Hamburg,22, 215–283 (1958).

    Google Scholar 

  6. W. Feit and J. G. Thompson, Solvability of Groups of Odd Order, Pacific J. Math.,13, No. 3, 775–1029 (1963).

    Google Scholar 

  7. L. Redei, Die endlichen einstüfig nichtnilpotenten Gruppen. Publ. Math.,4, 303–324 (1956).

    Google Scholar 

  8. W. Burnside, Theory of Groups of Finite Order, New York (1955).

  9. R. Brauer and H. F. Tuan, On Simple Groups of Finite Order. Bull. Amer. Math. Soc.,51, 756–766 (1945).

    Google Scholar 

  10. R. Baer, Nilpotent Characteristic Sutgroups of Finite Groups, Amer. J. Math.,75, 633–664 (1953).

    Google Scholar 

  11. I. Schur, Untersuchungen über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen. J. reine angew. Math.,132, No. 1, 85–137 (1907).

    Google Scholar 

  12. S. A. Chunikhin. Subgroups of Finite Groups [in Russian], Minsk (1964).

  13. W. Gaschutz, Über die Φ-Untergruppen endlicher Gruppen, Math. Zeits,58, 160–170 (1953).

    Google Scholar 

  14. H. Wielandt, Der Normalisator einer subnormalen Untergruppe, Acta. Sci. Math. Sz.,21, 324–336 (1960).

    Google Scholar 

  15. W. E. Deskins, On Quasinormal Subgroups of Finite Groups, Math. Zeits,82, 125–132 (1963).

    Google Scholar 

  16. Ya. G. Berkovich, A Theorem about Non-Nilpotent Solvable Subgroups of Finite Groups, in the Collection “Finite Groups” [in Russian], pp. 24–39, Minsk (1966).

  17. J. G. Thompson, Finite Groups with Fixed-Point-Free Automorphisms of Prime Order, Proc. Nat. Acad. Sci.,45, 578–581, USA (1959).

    Google Scholar 

  18. H. Wielandt, Über Produkte nilpotenter Gruppen, Illinois J. Math.,2, 611–618 (1958).

    Google Scholar 

  19. H. Zassenhaus, Lehrbuch der Gruppentheorie (1937).

  20. H. Wielandt, Eine Verallgemeinerung der invarianten Untergruppen, Math. Zeits,45, 209–244 (1939).

    Google Scholar 

  21. R. Baer, Classes of Finite Groups and Their Properties, Illinois J. Math.,1, 115–187 (1957).

    Google Scholar 

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Authors
  1. Ya. G. Berkovich
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  2. É. M. Pal'chik
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Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 8, No. 4, pp. 741–753, July–August, 1967.

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Berkovich, Y.G., Pal'chik, É.M. On the commutability of subgroups of a finite group. Soviet Mathematical Journal 8, 560–568 (1967). https://doi.org/10.1007/BF02196475

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  • DOI: https://doi.org/10.1007/BF02196475

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