Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-09T09:22:33.691Z Has data issue: false hasContentIssue false

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

Published online by Cambridge University Press:  01 June 2005

ALEXANDER MORETÓ
Affiliation:
Departament d'Àlgebra, Universitat de València, 46100 Burjassot, València, [email protected], [email protected]
GABRIEL NAVARRO
Affiliation:
Departament d'Àlgebra, Universitat de València, 46100 Burjassot, València, [email protected], [email protected]
Get access

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

Type
Papers
Copyright
© The London Mathematical Society 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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.