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Permutability of subgroups and\(\mathfrak{F}\)-subnormality

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References

  1. O. H. Kegel, “Untergruppenverbände endlicher Gruppen, die den Subnormalteilerverband echt enthalten,” Arch. Math.,39, No. 3, 225–228 (1978).

    Google Scholar 

  2. L. A. Shemetkov, Formations of Finite Groups [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  3. S. F. Kamornikov, “On a certain problem by Kegel,” Mat. Zametki,51, No. 5, 51–56 (1992).

    Google Scholar 

  4. H. Wielandt, “Eine Verallgemeinerung der invarianten Untergruppen,” Math. Z.,45, 209–244 (1939).

    Google Scholar 

  5. D. C. Brewster, “A criterion for the permutability of subnormal subgroups,” J. Algebra,36, No. 1, 85–87 (1975).

    Google Scholar 

  6. H. Wielandt, Subnormale Untergruppen Endlicher Gruppen, Vorlesung an der Universität Tübingen (1971).

  7. H. Wielandt, “Über das Erzeugnis paarweise kosubnormaler Untergruppen,” Arch. Math.,35, No. 1–2, 1–7 (1980).

    Google Scholar 

  8. A. F. Vasil'ev, S. F. Kamornikov, and V. N. Semenchuk, “On subgroup lattices of finite groups,” in: Infinite Groups and Related Algebraic Systems [in Russian], Inst. Mat. Akad. Nauk Ukrainy, Kiev, 1993, pp. 27–54.

    Google Scholar 

  9. R. A. Bryce and J. Cossey, “Fitting formations on finite soluble groups,” Math. Z.,127, 217–223 (1972).

    Google Scholar 

  10. H. Wielandt, “Über den Normalisator subnormalen Untergruppen,” Math. Z.,69, 463–465 (1958).

    Google Scholar 

  11. S. F. Kamornikov, “Permutable subnormal subgroups of finite groups,” Dokl. Akad. Nauk BSSR,33, No. 5, 396–399 (1989).

    Google Scholar 

  12. H. Wielandt, “Vertauschbare nachinvariante Untergruppen,” Abh. Math. Sem. Univ. Hamburg,21, No. 1–2, 55–62 (1957).

    Google Scholar 

  13. B. Huppert, Endliche Gruppen. I, Springer, Berlin, Heidelberg, and New York (1967).

    Google Scholar 

  14. J. C. Lennox and S. E. Stonehewer, Subnormal Subgroups of Groups, Clarendon Press, Oxford (1987).

    Google Scholar 

  15. S. F. Kamornikov, “Pronormal projectors of finite groups,” in: Voprosy Algebry [in Russian], Universitetskoe, Minsk, 1986, No. 2, pp. 80–86.

    Google Scholar 

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The research was supported in part by the Soros International Education Program in Sciences.

Translated fromSibirskii Matematicheskii Zhurnal, Vol. 37, No. 5, pp. 1065–1080, September–October, 1996.

In conclusion, the author expresses his deep gratitude to Professor L. A. Shemetkov for fruitful discussions and support.

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Kamornikov, S.F. Permutability of subgroups and\(\mathfrak{F}\)-subnormality. Sib Math J 37, 936–949 (1996). https://doi.org/10.1007/BF02110725

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  • DOI: https://doi.org/10.1007/BF02110725

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