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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W.

Managing Editor: Wilson, John S. / Khukhro, Evgenii I. / Burness, T.C.


IMPACT FACTOR 2018: 0.470
5-year IMPACT FACTOR: 0.520

CiteScore 2018: 0.53

SCImago Journal Rank (SJR) 2018: 0.566
Source Normalized Impact per Paper (SNIP) 2018: 1.047

Mathematical Citation Quotient (MCQ) 2018: 0.48

Online
ISSN
1435-4446
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Volume 13, Issue 2

Issues

Solvability of generalized monomial groups

Joachim König
  • Institut für Mathematik der Universität Würzburg, Am Hubland, 97074 Würzburg, Germany. E-mail:
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  • De Gruyter OnlineGoogle Scholar
Published Online: 2009-08-31 | DOI: https://doi.org/10.1515/jgt.2009.047

Abstract

The solvability of monomial groups is a well-known result in character theory. Certain properties of Artin L-series suggest a generalization of these groups, namely to groups with the property that every irreducible character has some multiple which is induced from a character φ of U with solvable factor group U/ker(φ). Using the classification of finite simple groups, we prove that these groups are also solvable. This means in particular that the mentioned properties do not enable one to deduce a proof of the famous Artin conjecture for any non-solvable group from a possible proof for solvable groups.

About the article

Received: 2009-01-21

Revised: 2009-06-16

Published Online: 2009-08-31

Published in Print: 2010-03-01


Citation Information: Journal of Group Theory, Volume 13, Issue 2, Pages 207–220, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/jgt.2009.047.

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