The Complex of Free Factors of a Free Group
Copyright policy )The Complex of Free Factors of a Free Group
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
- Cornell University United States
Topological methods in group theory, Free nonabelian groups, homotopy types, Geometric Topology (math.GT), direct summands, Mathematics - Geometric Topology, Solomon-Tits theorem, posets of free factors, spherical buildings, Fundamental groups and their automorphisms (group-theoretic aspects), FOS: Mathematics, free groups, bouquets of spheres, geometric realizations
Topological methods in group theory, Free nonabelian groups, homotopy types, Geometric Topology (math.GT), direct summands, Mathematics - Geometric Topology, Solomon-Tits theorem, posets of free factors, spherical buildings, Fundamental groups and their automorphisms (group-theoretic aspects), FOS: Mathematics, free groups, bouquets of spheres, geometric realizations
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