Finite groups in which distinct nonlinear irreducible characters have distinct codegrees

Finite groups in which distinct nonlinear irreducible characters have distinct codegrees

For an irreducible complex character χ of a finite group G, its codegree is defined as |G:kerχ|/χ(1)$|G:\ker \chi |/\chi (1)$. The main focus of this paper is to provide a classification of finite groups where distinct nonlinear irreducible characters have distinct codegrees.

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Veröffentlicht in:Mathematische Nachrichten 2024-02, Vol.297 (2), p.482-493
Hauptverfasser: Qian, Guohua, Zeng, Yu
Format: Artikel
Sprache:eng
Schlagworte:
character
character codegree
finite group
Group theory
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Zusammenfassung:For an irreducible complex character χ of a finite group G, its codegree is defined as |G:kerχ|/χ(1)$|G:\ker \chi |/\chi (1)$. The main focus of this paper is to provide a classification of finite groups where distinct nonlinear irreducible characters have distinct codegrees.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.202300123