Finite groups with few character values
| dc.contributor.author | Madanha, Sesuai Yash | |
| dc.contributor.email | sesuai.madanha@up.ac.za | en_ZA |
| 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 |