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Let G be a finite group and be an irreducible character of G, the number cod() = jG :
ker()j=(1) is called the codegree of . Also, cod(G) = fcod() j 2 Irr(G)g. For d 2 cod(G), the
multiplicity of d in G, denoted by mÃÂ¢?ÃÂ²
G(d), is the number of irreducible characters of G having codegree
d. A finite group G is called a TÃÂ¢?ÃÂ²
k-group for some integer k 1, if there exists d0 2 cod(G) such that
mÃÂ¢?ÃÂ²
G(d0) = k and for every d 2 cod(G) ÃÂ´??? fd0g, we have mÃÂ¢?ÃÂ²
G(d) = 1. In this note we characterize finite
TÃÂ¢?ÃÂ²
k-groups completely, where k 1 is an integer.
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