Abstract

We compute the topological complexity of Eilenberg–Mac Lane spaces associated to the group of automorphisms of a finitely generated free group that act by conjugation on a given basis, and to certain subgroups.

Keywords

topological complexity, basis-conjugating automorphism group, McCool group

Mathematical Subject Classification 2000

Primary: 20F28, 55M30

Secondary: 20J06, 20F65

Milestones

Received: 23 April 2008
Accepted: 27 August 2008

Authors