A complex irreducible character of a finite group G is said to be p-constant, for some prime p dividing the order of G, if it takes constant value at the set of p-singular elements of G. In this paper we classify irreducible p-constant characters for finite reflection groups, nilpotent groups and complete monomial groups. We also propose some conjectures about the structure of the groups admitting such characters.

Pellegrini, M. A., Irreducible p-constant characters of finite reflection groups, <<JOURNAL OF GROUP THEORY>>, 2017; 20 (5): 911-923. [doi:10.1515/jgth-2016-0059] [http://hdl.handle.net/10807/105327]

Irreducible p-constant characters of finite reflection groups

Pellegrini, Marco Antonio
Primo
2017

Abstract

A complex irreducible character of a finite group G is said to be p-constant, for some prime p dividing the order of G, if it takes constant value at the set of p-singular elements of G. In this paper we classify irreducible p-constant characters for finite reflection groups, nilpotent groups and complete monomial groups. We also propose some conjectures about the structure of the groups admitting such characters.
Inglese
This work was supported by the “National Group for Algebraic and Geometric Structures, and their Applications” (GNSAGA-INDAM).
Pellegrini, M. A., Irreducible p-constant characters of finite reflection groups, <<JOURNAL OF GROUP THEORY>>, 2017; 20 (5): 911-923. [doi:10.1515/jgth-2016-0059] [http://hdl.handle.net/10807/105327]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/105327
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