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Characterizing rational groups whose irreducible characters vanish only on involutions
Author(s) -
S. Hadi Jafari,
Hesam Sharifi
Publication year - 2015
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1408-4
Subject(s) - mathematics , character (mathematics) , pure mathematics , group (periodic table) , irreducible representation , character table , algebra over a field , geometry , chemistry , organic chemistry
A rational group is a finite group whose irreducible complex characters are rational valued. The aim of this paper is to classify rational groups $G$ for which every nonlinear irreducible character vanishes only on involutions.

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