`Nielsen equivalence of generating sets for surface groups.’

`Nielsen equivalence of generating sets for surface groups.’

Tue, 22/02/2011
17:00 		Lars Louder (Oxford) Algebra Seminar Add to calendar L2
`Nielsen equivalence of generating sets for surface groups.’
I will prove that generating sets of surface groups are either reducible or Nielsen equivalent to standard generating sets, improving upon a theorem of Zieschang. Equivalently, Aut(F_n) acts transitively on Epi(F_n,S) when S is a surface group.