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HEIGHTS OF CHARACTERS IN BLOCKS OF $p$-SOLVABLE GROUPS

Published online by Cambridge University Press:  01 June 2005

ALEXANDER MORETÓ  and
GABRIEL NAVARRO
ALEXANDER MORETÓ
Affiliation:
Departament d'Àlgebra, Universitat de València, 46100 Burjassot, València, SpainAlexander.Moreto@uv.es, gabriel@uv.es
GABRIEL NAVARRO
Affiliation:
Departament d'Àlgebra, Universitat de València, 46100 Burjassot, València, SpainAlexander.Moreto@uv.es, gabriel@uv.es
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Abstract

In this paper, it is proved that if $B$ is a Brauer $p$-block of a $p$-solvable group, for some odd prime $p$, then the height of any ordinary character in $B$ is at most $2b$, where $p^b$ is the largest degree of the irreducible characters of the defect group of $B$. Some other results that relate the heights of characters with properties of the defect group are obtained.

Keywords

20C1520C20
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 3 , June 2005 , pp. 373 - 380
Copyright
© The London Mathematical Society 2005

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Footnotes

Research partially supported by the Spanish Ministerio de Ciencia y Tecnología, grants BFM2001-0180 and BFM2001-1667-C03-02, and the FEDER. The first author is also supported by the Basque Government.