Irreducible p-constant characters of finite reflection groups

Marco Antonio Pellegrini

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arXiv · 1606.01888

Irreducible p-constant characters of finite reflection groups

Marco Antonio Pellegrini

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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.

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Marco Antonio Pellegrini. 2016-06-04. Irreducible p-constant characters of finite reflection groups. https://arxiv.org/abs/1606.01888

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