Let G be a finite group. A conjugacy class of G is said to be vanishing if there exists an irreducible character of G which takes the value 0 on the elements of this class. In this note, we describe the groups whose vanishing classes all have size p for some prime p.
Groups with vanishing class size p / Bianchi M.; Lewis M.L.; Pacifici E.. - In: JOURNAL OF GROUP THEORY. - ISSN 1433-5883. - STAMPA. - 23:(2020), pp. 79-83. [10.1515/jgth-2019-0033]
Groups with vanishing class size p
Pacifici E.
2020
Abstract
Let G be a finite group. A conjugacy class of G is said to be vanishing if there exists an irreducible character of G which takes the value 0 on the elements of this class. In this note, we describe the groups whose vanishing classes all have size p for some prime p.
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