Advertisement

Springer Nature is making Coronavirus research free. View research | View latest news | Sign up for updates

A conjecture on the number of characters in a p-block

  • 35 Accesses

  • 2 Citations

This is a preview of subscription content, log in to check access.

Literature cited

  1. 1.

    W. Feit, The Representation Theory of Finite Groups, North-Holland, Amsterdam (1982).

  2. 2.

    P. Fong, “On the characters of p-solvable groups,” Trans. Am. Math. Soc.,98, No. 2, 263–284 (1961).

  3. 3.

    H. Nagao, “On a conjecture of Brauer for p-solvable groups,” J. Math. Osaka City Univ.,13, No. 1, 35–38 (1962).

  4. 4.

    R. Knörr, “On the number of characters in a p-block of a p-solvable group,” Ill. J. Math.,28, No. 2, 181–210 (1984).

  5. 5.

    D. Gluck, “On the k(GV) problem,” J. Algebra,89, No. 1, 46–55 (1984).

  6. 6.

    R. Brauer, “On blocks and sections in finite groups. II,” Am. J. Math.,90, No. 3, 895–925 (1968).

  7. 7.

    C. W. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Wiley-Interscience, New York (1962).

Download references

Author information

Additional information

Translated from Matematicheskie Zametki, Vol. 42, No. 5, pp. 642–649, November, 1987.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Gres', P.G. A conjecture on the number of characters in a p-block. Mathematical Notes of the Academy of Sciences of the USSR 42, 854–858 (1987). https://doi.org/10.1007/BF01137427

Download citation