Finite groups of non-prime-power order with exactly four character codegrees

Journal of Group Theory 2026 Open access

Read full text
Authors: Yu Zeng, Mehdi Ghaffarzadeh, Mohsen Ghasemi, Dongfang Yang
DOI: 10.1515/jgth-2025-0146
Cited by: 0

Abstract

Abstract For an irreducible complex character πœ’ of a finite group 𝐺, the codegree of πœ’ is defined by | G : ker ( Ο‡ ) | / Ο‡ ( 1 ) \lvert G:\ker(\chi)\rvert/\chi(1) , where ker ⁑ ( Ο‡ ) \ker(\chi) is the kernel of πœ’. In this paper, we give a detailed characterization of finite groups of non-prime-power order with exactly four (irreducible) character codegrees.

Fields of Study & Subjects

Finite Group Theory Research graph theory and CDMA systems Coding theory and cryptography

Publication details

Journal / source
Journal of Group Theory
Publication date
14 July 2026
Language
EN