The structure of the group of conjugating automorphisms and the linear representation of the braid groups of some manifolds
| dc.creator | Bardakov, V. G. | |
| dc.date | 2003-01-22 | |
| dc.date | 2003-12-02 | |
| dc.date.accessioned | 2026-07-07T04:54:37Z | |
| dc.date.available | 2026-07-07T04:54:37Z | |
| dc.description | In this paper we describe the structure of a group of conjugating automorphisms $C_n$ of free group and prove that this structure is similar to the structure of a braid group $B_n$ with $n>1$ strings. We find the linear representation of group $C_n$. Also we prove that the braid group $B_n(S^2)$ of 2--sphere, mapping class group M(0,n) of the $n$--punctured 2--sphere and the braid group $B_3(P^2)$ of the projective plane are linear. Using result of J. Dyer, E. Formanek, E. Grossman and the faithful linear representation of Lawrence--Krammer of $B_4$ we construct faithful linear representation of the automorphism group $Aut(F_2)$. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0301247 | |
| dc.identifier | http://arxiv.org/abs/math/0301247 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66323 | |
| dc.subject | Group Theory | |
| dc.subject | Algebraic Topology | |
| dc.subject | Representation Theory | |
| dc.title | The structure of the group of conjugating automorphisms and the linear representation of the braid groups of some manifolds | |
| dc.type | text |