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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W. / Wilson, John S.

Managing Editor: Khukhro, Evgenii I. / Kramer, Linus

6 Issues per year


IMPACT FACTOR 2016: 0.457
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CiteScore 2016: 0.53

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Online
ISSN
1435-4446
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Volume 14, Issue 1 (Jan 2011)

Issues

Solomon's induction in quasi-elementary groups

Tim Dokchitser
Published Online: 2010-08-13 | DOI: https://doi.org/10.1515/jgt.2010.040

Abstract

Given a finite group G, we address the following question: which multiples of the trivial representation are linear combinations of inductions of trivial representations from proper subgroups of G? By Solomon's induction theorem, all multiples have this property if G is not quasi-elementary. We complement this by showing that all multiples of p are if G is p-quasi-elementary and not cyclic, and that this is best possible.

About the article

Received: 2009-12-13

Revised: 2010-03-04

Published Online: 2010-08-13

Published in Print: 2011-01-01


Citation Information: Journal of Group Theory, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/jgt.2010.040.

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© de Gruyter 2011. Copyright Clearance Center

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