Irreducible p-constant characters of finite reflection groups

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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.
Original languageEnglish
Pages (from-to)911-923
Number of pages13
JournalJournal of Group Theory
Publication statusPublished - 2017


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