Vol. 238, No. 2, 2008

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Topological complexity of basis-conjugating automorphism groups

Daniel C. Cohen and Goderdzi Pruidze

Vol. 238 (2008), No. 2, 233–248
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
Published: 1 December 2008
Authors
Daniel C. Cohen
Department of Mathematics
Louisiana State University
Baton Rouge, LA 70803
United States
www.math.lsu.edu/~cohen
Goderdzi Pruidze
Department of Mathematics
Louisiana State University
Baton Rouge, LA 70803
United States
www.math.lsu.edu/~gio