Volume 9, Issue 4 (12-2023)                   mmr 2023, 9(4): 70-79 | Back to browse issues page

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Mahmood Robati S. Groups whose set of vanishing elements is the :union: of exactly three conjugacy classes. mmr 2023; 9 (4) :70-79
URL: http://mmr.khu.ac.ir/article-1-3219-en.html
Groups whose set of vanishing elements is the :union: of exactly three conjugacy classes
Sajjad Mahmood Robati
, sajjad.robati@gmail.com
Abstract:   (697 Views)
Let G  be a finite group and let Irr(G)  be the set of irreducible characters of G . ‎We say that an element g  in G  is a vanishing element if there exists some χ∈ Irr(G)   such that χ(g)=0 ‎. In this paper, we provide a relatively short proof for the classification of finite groups whose set of vanishing elements is the :union: of exactly three conjugacy classes‎.


 
Keywords: conjugacy classes, irreducible characters, solvable groups, Frobenius groups, vanishing elements.
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Type of Study: Original Manuscript | Subject: alg
Received: 2021/08/15 | Revised: 2024/06/23 | Accepted: 2023/01/10 | Published: 2024/01/8 | ePublished: 2024/01/8
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