Finite groups whose codegrees are almost prime. Issue 2 (1st February 2021)

• Record Type: Journal Article
• Authors: Alizadeh, Ferydoun; Ghasemi, Mohsen; Ghaffarzadeh, Mehdi
• Is Part Of: Communications in algebra. Volume 49:Issue 2(2021)
• Page Start: 538
• Page End: 544
• Publication Date: 2021-02-01
• Subjects: Finite group -- codegree graph -- irreducible character; Primary 20C15 -- Secondary 20D05; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2020.1806289
• Languages: English
• ISSNs: 0092-7872

Abstract

Abstract: For a character χ of a finite group G, the number cod ( χ ) = | G : ker ( χ ) | / χ ( 1 ) is called the codegree of χ . In this paper we show that if G is nonsolvable, then the codegree graph Γ ( G ) has a triangle. Also by using this result we show that if G has one composite codegree, then G is solvable and | cod ( G ) | ≤ 5 .