Irreducible characters which are zero on only one conjugacy class
نویسندگان
چکیده
Suppose that G is a nite solvable group which has an irreducible character which vanishes on exactly one conjugacy class. Then we show that G has a homomorphic image which is a nontrivial 2-transitive permutation group. The latter groups have been classi ed by Huppert. We can also say more about the structure of G depending on whether is primitive or not. Mathematics Subject Classi cation 2000: 20C15 20D10 20B20
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