Literature cited
M. Hall, The Theory of Groups [in Russian], Moscow (1963).
R. Brauer, “Some applications of the theory of blocks of characters of finite groups, III,” J. Algebra,3, 225–255 (1966).
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).
I. N. Sanov, “Solution of the Burnside problem for index 4,” Uch. Zap. Leningrad. Gos. Univ.,55, 166–170 (1940).
A. I. Kostrikin, “On the Burnside problem,” Izvest. Akad. Nauk SSSR, Ser. Matem.,23, 3–34 (1959).
W. Feit and J. Thompson, “Solvability of groups of odd order,” Pacific J. Math.,13, 775–1029 (1964).
D. Gorenstein, “On the centralizers of involutions in finite groups,” J. Algebra, II, No. 2, 243–277 (1969).
J. G. Thompson, “Nonsolvable finite groups all of whose local subgroups are solvable,” Bull. Amer. Math. Soc.,74, 383–437 (1968).
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).
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).
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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