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Communications in Algebra Volume 35, 2007 - Issue 7
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Original Articles

Finite Solvable Groups with an Irreducible Character Vanishing on Just One Class of Elements

Guohua Qian Department of Mathematics, Zhongshan University, Guangzhou, China; Department of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu, ChinaCorrespondence[email protected]
Pages 2235-2240 | Received 12 Aug 2005, Published online: 11 Jun 2007
 
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Abstract

The aim of this note is to classify the finite solvable groups with an irreducible character that vanishes on just one class of elements.

2000 MR Subject Classification:

ACKNOWLEDGMENTS

The author is very grateful to the referee and Professor Alexandre Turull for their valuable suggestion and help. The project supported by the NSF of Jiangsu Education Committee (05KJB110002) and the NSF of China (10571128).

Notes

Communicated by A. Turull.

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