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Connection between the 2-length and the derived length of a Sylow 2-subgroup of a finite solvable group

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Literature cited

  1. P. Hall and G. Higman, “On the p-length of p-soluble groups and reduction theorems for Burnside's problem,” Proc. London Math. Soc.,6, No. 21, 1–24 (1956).

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  2. T. R. Berger and F. Gross, “2-Length and the derived length of a Sylow 2-subgroup,” Proc. London Math. Soc.,34, No. 3, 520–534 (1977).

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  3. E. G. Bryukhanova, “The 2-length and 2-period of a finite solvable group,” Algebra Logika,18, No. 1, 9–31 (1979).

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  4. D. Gorenstein, Finite Groups, Harper and Row, New York-Evanston-London (1968).

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Translated from Matematicheskie Zametki, Vol. 29, No. 2, pp. 161–170, February, 1981.

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Bryukhanova, E.G. Connection between the 2-length and the derived length of a Sylow 2-subgroup of a finite solvable group. Mathematical Notes of the Academy of Sciences of the USSR 29, 85–90 (1981). https://doi.org/10.1007/BF01140917

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  • DOI: https://doi.org/10.1007/BF01140917

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