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Soluble totally local formations

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References

  1. T. O. Hawkes, “On Fitting formations,” Math. Z., Bd. 117, 117–182 (1970).

    Article  Google Scholar 

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

    Article  Google Scholar 

  3. K. Doerk and T. O. Hawkes, Finite Soluble Groups, Walter de Gruyter and Co., Berlin-New York (1992).

    Google Scholar 

  4. V. N. Semenchuk, “Description of finite soluble minimal non-ℑ-groups for an arbitrary totally local formation ℑ,” Mat. Zametki,43, No. 4, 452–459 (1988).

    Google Scholar 

  5. V. N. Semenchuk, “A role of minimal non-ℑ-groups in the theory of formations,” Mat. Zametki,48, No. 1, 110–115 (1990).

    Google Scholar 

  6. V. N. Semenchuk, “On soluble minimal non-ℑ-groups,” Voprosy Algebry (Minsk), No. 3, 16–21 (1987).

    Google Scholar 

  7. V. N. Semenchuk, “Description of totally local formations for which the minimal non-ℑ-groups are either primary or biprimary,” Voprosy Algebry (Minsk), No. 5, 34–39 (1990).

    Google Scholar 

  8. V. N. Semenchuk, “On totally local formations,” Voprosy Algebry (Minsk), No. 6, 24–30 (1993).

    Google Scholar 

  9. L. A. Shemetkov and A. N. Skiba, Formations of Algebraic Systems [in Russian], Nauka, Moscow (1989).

    Google Scholar 

  10. L. A. Shemetkov, Some Ideas and Results in the Theory of Formations of Finite Groups [Preprint, No. 13] Warwick (1991). Transl. from: Voprosy Algebry (Minsk), No. 7, 3–38 (1992).

    Google Scholar 

  11. Kourovskaya Notebook: Unsolved Problems of Group Theory [in Russian], 12th edit., Inst. Mat. (Novosibirsk), Novosibirsk (1992).

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

    Google Scholar 

  13. V. N. Semenchuk and A. F. Vasil'ev, “Characterizations of local formations ℑ by given properties of minimal non-ℑ-groups,” in: Studies of the Normal and Subgroup Structure of Finite Groups [in Russian], Nauka i Tekhnika, Minsk, 1984, pp. 175–181.

    Google Scholar 

  14. A. N. Skiba, “On a certain class of local formations of finite groups,” Dokl. Akad. Nauk BSSR,34, No. 11, 982–985 (1990).

    Google Scholar 

  15. V. N. Semenchuk, “Minimal non-ℑ-groups,” Algebra i Logika,18, No. 3, 348–382 (1979).

    Article  Google Scholar 

  16. K. Doerk, “Zur Theorie der Formationen endlicher auflösbarer Gruppen,” J. Algebra,13, No. 3, 345–373 (1969).

    Article  Google Scholar 

  17. R. W. Carter, B. Fischer, and T. O. Hawkes, “Extreme classes of finite soluble groups,” J. Algebra,9, No. 3, 285–313 (1968).

    Article  Google Scholar 

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Translated fromSibirskii Matematicheskii Zhurnal, Vol. 36, No. 4, pp. 862–872, July–August, 1995.

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Semenchuk, V.N. Soluble totally local formations. Sib Math J 36, 744–752 (1995). https://doi.org/10.1007/BF02107332

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  • DOI: https://doi.org/10.1007/BF02107332

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