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Weakened burnside problem for the index 30

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Literature cited

  1. M. Hall, The Theory of Groups [in Russian], Moscow (1963).

  2. R. Brauer, “Some applications of the theory of blocks of characters of finite groups, III,” J. Algebra,3, 225–255 (1966).

    Article  MATH  MathSciNet  Google Scholar 

  3. F. Hall and G. Higman, “The p-length of p-solvable groups and reduction theorems for the Brunside problem,” Matemaika, Sborn. Prevodov.,13, No. 2, 64–104 (1969).

    Google Scholar 

  4. I. N. Sanov, “Solution of the Burnside problem for index 4,” Uch. Zap. Leningrad. Gos. Univ.,55, 166–170 (1940).

    MathSciNet  Google Scholar 

  5. A. I. Kostrikin, “On the Burnside problem,” Izvest. Akad. Nauk SSSR, Ser. Matem.,23, 3–34 (1959).

    MATH  MathSciNet  Google Scholar 

  6. W. Feit and J. Thompson, “Solvability of groups of odd order,” Pacific J. Math.,13, 775–1029 (1964).

    MathSciNet  Google Scholar 

  7. D. Gorenstein, “On the centralizers of involutions in finite groups,” J. Algebra, II, No. 2, 243–277 (1969).

    MathSciNet  Google Scholar 

  8. J. G. Thompson, “Nonsolvable finite groups all of whose local subgroups are solvable,” Bull. Amer. Math. Soc.,74, 383–437 (1968).

    MATH  MathSciNet  Google Scholar 

  9. D. Gorenstein, “Finite groups in which Sylow 2-subgroups are Abelian and centralizers of involutions are solvable,” Canada J. Math.,17, No. 6, 860–906 (1965).

    MATH  MathSciNet  Google Scholar 

  10. D. Gorenstein and J. H. Walter, “The characterization of finite groups with dihedral Sylow 2-subgroups,” I. J. Algebra,2, No. 1, 85–151 (1965); II,2, No. 2, 218–270 (1965); III,2, No. 3, 354–393 (1965).

    MathSciNet  Google Scholar 

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Translated from Algebra i Logika, Vol. 3, No. 4, pp. 460–477, July–August, 1969.

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Mazurov, V.D. Weakened burnside problem for the index 30. Algebr Logic 8, 264–273 (1969). https://doi.org/10.1007/BF02306732

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  • DOI: https://doi.org/10.1007/BF02306732

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