Word maps have large image
| dc.creator | Larsen, Michael | |
| dc.date | 2002-11-19 | |
| dc.date | 2004-04-20 | |
| dc.date.accessioned | 2026-07-07T04:53:06Z | |
| dc.date.available | 2026-07-07T04:53:06Z | |
| dc.description | An element w in the free group on r letters defines a map f from G^r to G for each group G. In this note, we show that whenever w is non-trivial and G is a semisimple algebraic group, f is dominant. When G is a finite simple group, the ratio \log |f(G^r)| over \log |G| tends to 1 as the order of G tends to infinity. | |
| dc.description | 9 pages; Theorem 1 credited to A. Borel with the relevant bibliographic entry supplied | |
| dc.identifier | https://arxiv.org/abs/math/0211302 | |
| dc.identifier | http://arxiv.org/abs/math/0211302 | |
| dc.identifier | Israel J. Math. 139 (2004), 149--156 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65717 | |
| dc.subject | Group Theory | |
| dc.subject | 20G15; 20D06 | |
| dc.title | Word maps have large image | |
| dc.type | text |