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

XML Persian Abstract Print

Groups whose set of vanishing elements is the :union: of exactly three conjugacy classes
Sajjad Mahmood Robati
, sajjad.robati@gmail.com
Abstract:   (362 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.
Full-Text [PDF 219 kb]   (111 Downloads)    
Type of Study: Original Manuscript | Subject: alg
Received: 2021/08/15 | Revised: 2024/04/7 | Accepted: 2023/01/10 | Published: 2024/01/8 | ePublished: 2024/01/8
Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.