Finite groups with few character values

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dc.contributor.author Madanha, Sesuai Yasha
dc.date.accessioned 2022-04-05T05:46:35Z
dc.date.issued 2022
dc.description.abstract A 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_ZA
dc.description.department Mathematics and Applied Mathematics en_ZA
dc.description.embargo 2022-08-04
dc.description.librarian hj2022 en_ZA
dc.description.uri https://www.tandfonline.com/loi/lagb20 en_ZA
dc.identifier.citation Sesuai Y. Madanha (2022) Finite groups with few character values, Communications in Algebra, 50:1, 308-312, DOI: 10.1080/00927872.2021.1957107. en_ZA
dc.identifier.issn 0092-7872 (print)
dc.identifier.issn 1532-4125 (online)
dc.identifier.other 10.1080/00927872.2021.1957107
dc.identifier.uri http://hdl.handle.net/2263/84793
dc.language.iso en en_ZA
dc.publisher Taylor and Francis en_ZA
dc.rights © 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. en_ZA
dc.subject Almost simple groups en_ZA
dc.subject Character degrees en_ZA
dc.subject Character values en_ZA
dc.title Finite groups with few character values en_ZA
dc.type Postprint Article en_ZA


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