Vol. 11, No. 6, 2017
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On defects of characters and decomposition numbers

Gunter Malle, Gabriel Navarro and Benjamin Sambale
Vol. 11 (2017), No. 6, 1357–1384
DOI: 10.2140/ant.2017.11.1357
Abstract

We propose upper bounds for the number of modular constituents of the restriction modulo p of a complex irreducible character of a finite group, and for its decomposition numbers, in certain cases.

Keywords
decomposition numbers, defect of characters, heights of characters
Mathematical Subject Classification 2010
Primary: 20C20
Secondary: 20C33
Milestones
Received: 4 November 2016
Revised: 2 May 2017
Accepted: 5 June 2017
Published: 16 August 2017
Authors
Gunter Malle
Fachbereich Mathematik
TU Kaiserslautern
Postfach 3049
D-67653 Kaiserslautern
Germany
Gabriel Navarro
Department of Mathematics
Universitat de Valéncia
46100 Burjassot
Spain
Benjamin Sambale
Fachbereich Mathematik
TU Kaiserslautern
Postfach 3049
D-67653 Kaiserslautern
Germany