Proceedings of the Japan Academy

On a theorem of Brauer

Masaru Osima

Full-text: Open access

Article information

Source
Proc. Japan Acad., Volume 40, Number 10 (1964), 795-798.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195522566

Digital Object Identifier
doi:10.3792/pja/1195522566

Mathematical Reviews number (MathSciNet)
MR0185021

Zentralblatt MATH identifier
0136.28703

Subjects
Primary: 20.80

Citation

Osima, Masaru. On a theorem of Brauer. Proc. Japan Acad. 40 (1964), no. 10, 795--798. doi:10.3792/pja/1195522566. https://projecteuclid.org/euclid.pja/1195522566


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References

  • [1] R. Brauer: Zur Darstellungstheorie der Gruppen endlicher Ordnung. I. Math. Z., 69, 406-444 (1956).
  • [2] R. Brauer: Zur Darstellungstheorie der Gruppen endlicher Ordnung. II. Math. Z., 72, 25-46 (1959).
  • [3] R. Brauer: On blocks of representations of finite groups. Proc. Nat. Acad. Sci., U. S. A., 47, 1888-1890 (1961).
  • [4] R. Brauer: Some applications of the theory of blocks of characters of finite groups. I. J. Algebra, 1, 152-167 (1964).
  • [5] R. Brauer and W. Feit: On the number of irreducible characters of finite groups in a given block. Proc. Nat. Acad. Sci., U. S. A., 45, 361-365 (1959).
  • [6] R. Brauer and C. Nesbitt: On the modular characters of groups. Ann. of Math., 42, 556-590 (1941).
  • [7] C. W. Curtis and I. Reiner: Representation Theory of Finite Groups and Associative Algebras. Interscience, New York, London (1962).
  • [8] M. Osima: Notes on blocks of group characters. Math. J. Okayama Univ., 4, 175-188 (1955).
  • [9] M. Osima: On some properties of group characters. Proc. Japan Acad., 36, 18-21 (1960).