On the heights of group characters-Reference-Cited by-同舟云学术

On the heights of group characters

Published:1977 Issue:2 Volume:63 Page:213-216
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Haggarty R. J.

Abstract

For a finite p-soluble group G we derive a bound on the heights of the irreducible complex characters of G lying in a p-block B. This bound depends on the prime p and the exponent d of a defect group of B. We show by examples that this bound is of the right order of magnitude.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1977-063-02/S0002-9939-1977-0435199-1/S0002-9939-1977-0435199-1.pdf

Reference8 articles.

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3. Some properties of characters of finite solvable groups;Fong, Paul;Bull. Amer. Math. Soc.,1960

4. On the characters of 𝑝-solvable groups;Fong, P.;Trans. Amer. Math. Soc.,1961

5. On the 𝑝-length of 𝑝-soluble groups and reduction theorems for Burnside’s problem;Hall, P.;Proc. London Math. Soc. (3),1956

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