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Solvability of finite coatomic groups

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Literature cited

  1. P. Menegazzo, “Gruppi nei quali ogni sottogruppo è intersezione di sottogruppi massimali,” Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fiz. Mat. Natur.,48, No. 6, 559–562 (1970).

    Google Scholar 

  2. F. Migliorini, “Gruppi finiti nei quali sottogruppi primitivi sono massimali,” Matematiche,29, No. 2, 231–248 (1974–1975).

    Google Scholar 

  3. M. Bianchi and B. M. C. Tamburini, “Sugli IM-gruppi finitie i loro duali,” Rend. Ist. Lombarde Accad. Sci. Lett.,A111, No. 2, 420–436 (1977).

    Google Scholar 

  4. E. N. Starukhina, “On coatomic topological groups,” in: Studies in Modern Algebra [in Russian], Izd. Ural. Univ., Sverdlovsk (1979), pp. 170–179.

    Google Scholar 

  5. B. Huppert, Endliche Gruppen I, Springer, Berlin (1967).

    Google Scholar 

  6. R. W. Carter, Simple Groups of Lie Type, Wiley, London (1972).

    Google Scholar 

  7. D. Gorenstein, “Finite Simple Groups. An Introduction to Their Classification [Russian translation], Mir, Moscow (1985).

    Google Scholar 

  8. J. H. Conway et al., Atlas of Finite Groups, Clarendon Press, Oxford (1985).

    Google Scholar 

  9. W. M. Kantor, “Subgroups of classical groups generated by long root elements,” Trans. Am. Math. Soc.,248, No. 2, 347–379 (1979).

    Google Scholar 

  10. C. W. Curtis, W. M. Kantor, and G. M. Seitz, “The 2-transitive permutation representations of the finite Chevalley groups,” Trans. Amer. Math. Soc.,218, 1–59 (1976).

    Google Scholar 

  11. M. Aschbacher and G. M. Seitz, “Involutions in Chevalley groups over fields of even order,” Nagoya Math. J.,63, 1–91 (1976).

    Google Scholar 

  12. U. Dempwolff, “Some subgroups of GL(n, 2) generated involutions. I, II,” J. Algebra,54, No. 2, 332–352 (1978);56, No. 1, 255–261 (1979).

    Google Scholar 

  13. G. M. Seitz, “Flag-transitive subgroups of Chevalley groups,” Ann. Math.,97, No. 1, 27–56 (1973).

    Google Scholar 

  14. V. M. Kantor, “Linear groups containing a Singer cycle,” J. Algebra,62, No. 1, 232–234 (1980).

    Google Scholar 

  15. B. N. Cooperstein, “Minimal degree for a permutation representation of classical groups,” Israel J. Math.,30, No. 3, 213–235 (1978).

    Google Scholar 

  16. M. Aschbacher, “Overgroups of Sylow subgroups in sporadic groups,” Mem. Am. Math. Soc.,60, No. 343 (1986).

  17. B. N. Cooperstein, “The geometry of root subgroups in exceptional groups. II,” Geom. Dedic.,15, No. 1, 1–45 (1983).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch, Academy of Sciences of the USSR, USSR

    A. S. Kondrat'ev

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  1. A. S. Kondrat'ev
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Translated from Matematicheskie Zametki, Vol. 47, No. 1, pp. 92–97, January, 1990.

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Kondrat'ev, A.S. Solvability of finite coatomic groups. Mathematical Notes of the Academy of Sciences of the USSR 47, 60–63 (1990). https://doi.org/10.1007/BF01157285

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