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Publication Date:
February 2011
ISSN:
1435-4446
DOI:
10.1515/jgt.2011.083

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Journal of Group Theory

Editor-in-Chief: Wilson, John S.

Managing Editor: Howie, James / Kramer, Linus / Parker, Christopher W.

Editorial Board Member: Abért, Miklós / Borovik, Alexandre V. / Boston, Nigel / Bridson, Martin R. / Caprace, Pierre-Emmanuel / Giovanni, Francesco / Guralnick, Robert / Jaikin Zapirain, Andrei / Kessar, Radha / Khukhro, Evgenii I. / Kochloukova, Dessislava H. / Malle, Gunter / Olshanskii, Alexander / Remy, Bertrand / Robinson, Derek J.S. / Willis, George

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A direct product coming from a particular set of character degrees

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1Department of Mathematical Sciences, Kent State University, Kent, Ohio 44242, USA

2Department of Mathematical Sciences, University of Tabriz, P.O. Box 51666-17766, Tabriz, Iran

3School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran

Citation Information: Journal of Group Theory. Volume 14, Issue 6, Pages 865–880, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: 10.1515/jgt.2011.083, February 2011

Publication History:
Received:
2009-12-17
Revised:
2010-10-06
Published Online:
2011-02-10

Abstract

We prove that if G is a solvable group with cd(G) = {1, m, p, q, mp, mq}, where p and q are distinct primes and m > 1 is an integer not divisible by p or q, then G = A × B, where cd(A) = {1, p, q} and cd(B) = {1, m}. This generalizes [Lewis, J. Algebra 206: 235–260, 1998, Theorem A].

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