Irreducible characters taking root of unity values on p-singular\n elements

2010/12/09 by Gabriel Navarro, Navarro, Gabriel, Geoffrey R. Robinson +1
Computer Science · Mathematics · #20C15 #20C20 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Graph theory and applications #Group Theory (math.GR) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1012.2018

openalex publication_date 2010/12/09 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

In this paper we study finite p-solvable groups having irreducible complex\ncharacters chi in Irr(G) which take roots of unity values on the p-singular\nelements of G.\n

Related

• Group elements whose character values are roots of unity
• Irreducible characters of finite simple groups constant at the p-singular elements
• Irreducible p-constant characters of finite reflection groups
• Characters of prime degree
• Products of characters with few irreducible constituents