Groups in which the co-degrees of the irreducible characters are distinct
نویسندگان
چکیده
Let G be a finite group and let Irr(G) the set of all irreducible complex characters G. For character χ∈Irr(G), number cod(χ):=|G:ker(χ)|/χ(1) is called co-degree χ. The co-degrees denoted by cod(G). In this paper, we show that for nontrivial G, |Irr(G)|=|cod(G)| if only isomorphic to Z2 or S3.
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2021
ISSN: ['1532-4125', '0092-7872']
DOI: https://doi.org/10.1080/00927872.2021.1939361