42nd Annual Iranian Mathematics Conference , 2011-09-05

Title : ( NON-VANISHING ELEMENTS AND ZEROS OF CHARACTERS OF FINITE GROUPS: A REVIEW )

Authors: Abbas Jafarzadeh , M. Soleimani ,

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Let G be a finite group. A well-known result of W. Burnside tells us that, for any nonlinear irreducible character χ of G, there exists an element g ∈ G such that χ(g) = 0. In this paper, first we investigate elements g ∈ G fulfilling that all the irreducible characters take non-zero values at g . Then, we deal with the number of conjugacy classes of G where χ vanishes, for a fixed irreducible character χ.

Keywords

, Irreducible character, Non-vanishing, Fitting
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@inproceedings{paperid:1027597,
author = {Jafarzadeh, Abbas and M. Soleimani},
title = {NON-VANISHING ELEMENTS AND ZEROS OF CHARACTERS OF FINITE GROUPS: A REVIEW},
booktitle = {42nd Annual Iranian Mathematics Conference},
year = {2011},
location = {رفسنجان, IRAN},
keywords = {Irreducible character; Non-vanishing; Fitting subgroup.},
}

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%0 Conference Proceedings
%T NON-VANISHING ELEMENTS AND ZEROS OF CHARACTERS OF FINITE GROUPS: A REVIEW
%A Jafarzadeh, Abbas
%A M. Soleimani
%J 42nd Annual Iranian Mathematics Conference
%D 2011

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