Madanha, Sesuai Yash2022-04-052022Sesuai Y. Madanha (2022) Finite groups with few character values, Communications in Algebra, 50:1, 308-312, DOI: 10.1080/00927872.2021.1957107.0092-7872 (print)1532-4125 (online)10.1080/00927872.2021.1957107http://hdl.handle.net/2263/84793A classical theorem on character degrees states that if a finite group has fewer than four character degrees, then the group is solvable. We prove a corresponding result on character values by showing that if a finite group has fewer than eight character values in its character table, then the group is solvable. This confirms a conjecture of T. Sakurai. We also classify non-solvable groups with exactly eight character values.en© 2021 Taylor & Francis Group, LLC. This is an electronic version of an article published in Communications in Algebra, vol. 50, no. 1, pp. 308-312, 2022. doi : 10.1080/00927872.2021.1957107. Communications in Algebra is available online at : https://www.tandfonline.com/loi/lagb20.Almost simple groupsCharacter degreesCharacter valuesPostprint Article