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| Paper IPM / M / 17106 |
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| Abstract: | |||||
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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 mâ²
G(d), is the number of irreducible characters of G having codegree
d. A finite group G is called a Tâ²
k-group for some integer k 1, if there exists d0 2 cod(G) such that
mâ²
G(d0) = k and for every d 2 cod(G) ô fd0g, we have mâ²
G(d) = 1. In this note we characterize finite
Tâ²
k-groups completely, where k 1 is an integer.
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