The complex of free factors of a free group

preprint2022arXivOpen access

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 nn is homotopy equivalent to a wedge of spheres of dimension n−2n-2.

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