Growth and generation in SL_2(Z/pZ)
| dc.creator | Helfgott, H. A. | |
| dc.date | 2005-09-01 | |
| dc.date | 2008-01-08 | |
| dc.date.accessioned | 2026-07-07T08:53:06Z | |
| dc.date.available | 2026-07-07T08:53:06Z | |
| dc.description | We show that every subset of SL_2(Z/pZ) grows rapidly when it acts on itself by the group operation. It follows readily that, for every set of generators A of SL_2(Z/pZ), every element of SL_2(Z/pZ) can be expressed as a product of at most O((log p)^c) elements of the union of A and A^{-1}, where c and the implied constant are absolute. | |
| dc.description | 21 pages; fourth version - lemmas on escape amended and improved; to appear in Annals of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0509024 | |
| dc.identifier | http://arxiv.org/abs/math/0509024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145502 | |
| dc.subject | Group Theory | |
| dc.subject | Combinatorics | |
| dc.subject | Number Theory | |
| dc.subject | 05C25; 20G40, 20D60, 11B75 | |
| dc.title | Growth and generation in SL_2(Z/pZ) | |
| dc.type | text |