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 / M. Bianchi, M.L. Lewis, E. Pacifici. - In: JOURNAL OF GROUP THEORY. - ISSN 1433-5883. - (2019). [Epub ahead of print] [10.1515/jgth-2019-0033]

Groups with vanishing class size p

M. Bianchi
Primo
;
E. Pacifici
Ultimo
2019

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.
Settore MAT/02 - Algebra
2019
16-lug-2019
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/662447
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