A problem in the Kourovka notebook concerning the number of conjugacy classes of a finite group
| dc.creator | Reid, Colin | |
| dc.date | 2008-10-30 | |
| dc.date.accessioned | 2026-07-07T10:14:12Z | |
| dc.date.available | 2026-07-07T10:14:12Z | |
| dc.description | In this paper, we consider Problem 14.44 in the Kourovka notebook, which is a conjecture about the number of conjugacy classes of a finite group. While elementary, this conjecture is still open and appears to elude any straightforward proof, even in the soluble case. However, we do prove that a minimal soluble counterexample must have certain properties, in particular that it must have Fitting height at least 3 and order at least 2000. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/0810.5494 | |
| dc.identifier | http://arxiv.org/abs/0810.5494 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172798 | |
| dc.subject | Group Theory | |
| dc.title | A problem in the Kourovka notebook concerning the number of conjugacy classes of a finite group | |
| dc.type | text |