Almost cyclic groups
| dc.creator | Ikenaga, Bruce | |
| dc.date | 2005-11-16 | |
| dc.date.accessioned | 2026-07-07T06:51:19Z | |
| dc.date.available | 2026-07-07T06:51:19Z | |
| dc.description | A group G is almost cyclic if there is an element x in G, such that for all g in G, there is an element y in G and an integer n with ygy^{-1} = x^n (that is, every element is conjugate to some power of x). W. Ziller asked whether there are finitely-presented almost cyclic groups which are not cyclic in connection with work on closed geodesics. V. Guba constructed an infinite (non-cyclic) finitely generated almost cyclic group. The principal results of this paper are: Solvable almost cyclic groups are cyclic, and one-relator almost cyclic groups are cyclic. | |
| dc.identifier | https://arxiv.org/abs/math/0511400 | |
| dc.identifier | http://arxiv.org/abs/math/0511400 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104945 | |
| dc.subject | Group Theory | |
| dc.subject | 20E, 20F | |
| dc.title | Almost cyclic groups | |
| dc.type | text |