A presentation for Aut(F_n)

2007/01/31 by Armstrong, Heather, Forrest, Bradley, Vogtmann, Karen
#20F05 #20F28 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.math/0701937

Abstract

We study the action of the group Aut(F_n) of automorphisms of a finitely generated free group on the degree 2 subcomplex of the spine of Auter space. Hatcher and Vogtmann showed that this subcomplex is simply connected, and we use the method described by K. S. Brown to deduce a new presentation of Aut(F_n).

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