Extending representations of braid groups to the automorphism groups of free groups
| dc.creator | Bardakov, Valerij G. | |
| dc.date | 2004-08-24 | |
| dc.date.accessioned | 2026-07-07T05:11:31Z | |
| dc.date.available | 2026-07-07T05:11:31Z | |
| dc.description | We construct a linear representation of the group IA(F_n) of IA-automorphisms of a free group F_n, an extension of the Gassner representation of the pure braid group P_n. Although the problem of faithfulness of the Gassner representation is still open for n > 3, we prove that the restriction of our representation to the group of basis conjugating automorphisms Cb_n contains a non-trivial kernel even if n=2. We construct also an extensions of the Burau representation to the group of conjugating automorphisms C_n. This representation is not faithful for n > 1. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0408330 | |
| dc.identifier | http://arxiv.org/abs/math/0408330 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72269 | |
| dc.subject | Group Theory | |
| dc.subject | 20F36; 20E05; 20F28; 20G15 | |
| dc.title | Extending representations of braid groups to the automorphism groups of free groups | |
| dc.type | text |