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Abstract: (783 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.
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