Madanha, Sesuai Yash2020-04-292020-03Madanha, S.Y. 2020, 'Zeros of primitive characters of finite groups', Journal of Group Theory, vol. 23, no. 2, pp. 193-216.1433-5883 (print)1435-4446 (online)10.1515/jgth-2019-2051http://hdl.handle.net/2263/74420This work will form part of the author’s PhD thesis. (http://hdl.handle.net/2263/70706)We classify finite non-solvable groups with a faithful primitive complex irreducible character that vanishes on a unique conjugacy class. Our results answer a question of Dixon and Rahnamai Barghi and suggest an extension of Burnside’s classical theorem on zeros of characters.en© de Gruyter 2020Primitive charactersZeros of charactersBurnside’s theoremCharacter degreesZeros of primitive characters of finite groupsArticle