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Some consequences of Alperin's hypothesis for p-solvable groups

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Literature cited

  1. G. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Interscience, New York (1962).

    Google Scholar 

  2. R. Brauer, “On the structure of blocks of characters of finite groups,” Proc. Second Int. Conf. on the Theory of Groups, Springer-Verlag, Berlin (1974), pp. 103–130.

    Google Scholar 

  3. J. L. Alperin, “The main problem of block theory,” Proc. Conf. Finite Groups, Academic Press, New York (1976), pp. 341–356.

    Google Scholar 

  4. P. G. Gres', “On Alperin's hypothesis on characters of height 0 for p-solvable groups,” in: Proc. Thirty-first Conf. of the Teacher Training Dept. of Uzhgorod University, Uzhgorod (1978), pp. 55–97 (VINITI No. 3131-78).

  5. P. G. Gres', “The proof for p-solvable groups of Alperin's hypothesis on the number of characters of height 0,” in: Sixth All-Union Symp. on Group Theory, Kiev [in Russian], Naukova Dumka, Kiev (1980), pp. 179–188.

    Google Scholar 

  6. T. Okayama and M. Wijama, “Irreducible characters of p-solvable groups,” Proc. Jpn. Acad. A. No. 55, 309–312 (1979).

    Google Scholar 

  7. E. Dade, “Correspondence of characters,” in: Santa Cruz Conf. on Finite Groups, Santa Cruz (Calif.), Providence, R. I. (1979), pp. 401–403.

  8. P. Fong, “On the characters of p-solvable groups,” Trans. Am. Math. Soc, No. 98, 263–284 (1961).

    Google Scholar 

  9. W. Reynolds, “Blocks and normal subgroups of finite groups,” Nagoya Math. J., No. 22, 15–32 (1963).

    Google Scholar 

  10. J.-P. Serre, Représentations Linéaires des Groupes Finis, Hermann, Paris (1967).

    Google Scholar 

  11. G. Michler, “Blocks and centers of group algebras,” Lect. Notes Math., No. 246, 429 (1972).

    Google Scholar 

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Translated from Ukrainskii Mathematicheskii Zhurnal, Vol. 38, No. 1, pp. 17–22, January–February, 1986.

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Gres', P.G. Some consequences of Alperin's hypothesis for p-solvable groups. Ukr Math J 38, 11–15 (1986). https://doi.org/10.1007/BF01056750

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  • DOI: https://doi.org/10.1007/BF01056750

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