Uniform Kazhdan Constant for some families of linear groups
| dc.creator | Hadad, Uzy | |
| dc.date | 2006-12-14 | |
| dc.date | 2007-09-19 | |
| dc.date.accessioned | 2026-07-07T08:30:39Z | |
| dc.date.available | 2026-07-07T08:30:39Z | |
| dc.description | Let $R$ be a ring generated by $l$ elements with stable range $r$. Assume that the group $EL_d(R)$ has Kazhdan constant $ε_0>0$ for some $d > r $. We prove that there exist $ε(ε_0,l) >0$ and $k \in N$, s.t. for every $n \geq d$, $EL_n(R)$ has a generating set of order $k$ and a Kazhdan constant larger than $ε$. As a consequence, we obtain for $SL_n(Z)$ where $n \geq 3$, a Kazhdan constant which is independent of $n$ w.r.t generating set of a fixed size. | |
| dc.description | To appear in J. of Alg | |
| dc.identifier | https://arxiv.org/abs/math/0612390 | |
| dc.identifier | http://arxiv.org/abs/math/0612390 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138289 | |
| dc.subject | Representation Theory | |
| dc.subject | Group Theory | |
| dc.title | Uniform Kazhdan Constant for some families of linear groups | |
| dc.type | text |