Growth of positive words and lower bounds of the growth rate for Thompson's groups $F(p)$
| dc.creator | Burillo, Jose | |
| dc.creator | Guba, Victor | |
| dc.date | 2005-11-18 | |
| dc.date.accessioned | 2026-07-07T06:51:27Z | |
| dc.date.available | 2026-07-07T06:51:27Z | |
| dc.description | Let $F(p)$, $p\ge2$ be the family of generalized Thompson's groups. Here F(2) is the famous Richard Thompson's group usually denoted by $F$. We find the growth rate of the monoid of positive words in $F(p)$ and show that it does not exceed $p+1/2$. Also we describe new normal forms for elements of $F(p)$ and, using these forms, we find a lower bound for the growth rate of $F(p)$ in its natural generators. This lower bound asymptotically equals $(p-1/2)\log_2 e+1/2$ for large values of $p$. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0511474 | |
| dc.identifier | http://arxiv.org/abs/math/0511474 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104989 | |
| dc.subject | Group Theory | |
| dc.subject | 20F32; 05C25 | |
| dc.title | Growth of positive words and lower bounds of the growth rate for Thompson's groups $F(p)$ | |
| dc.type | text |