The complex of free factors of a free group

Abstract

This paper corrects an error in a proof in the original version of the paper published in 1998 in the Oxford Quarterly. The main theorem remains the same: The geometric realization of the partially ordered set of proper free factors in a finitely generated free group of rank $n$ is homotopy equivalent to a wedge of spheres of dimension $n-2$.

This arXiv version contains a correction to Lemma 2.3 in the published version of the paper

Cited by in corpus (1)

• The free factor complex and the dualizing module for the automorphism group of a free group