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
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.

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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