Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 4, Number 1 (2004), 543-569.
Automorphisms of free groups with boundaries
The automorphisms of free groups with boundaries form a family of groups closely related to mapping class groups, with the standard automorphisms of free groups as and (essentially) the symmetric automorphisms of free groups as . We construct a contractible space on which acts with finite stabilizers and finite quotient space and deduce a range for the virtual cohomological dimension of . We also give a presentation of the groups and calculate their first homology group.
Algebr. Geom. Topol., Volume 4, Number 1 (2004), 543-569.
Received: 26 February 2004
Revised: 8 July 2004
Accepted: 9 July 2004
First available in Project Euclid: 21 December 2017
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Jensen, Craig; Wahl, Nathalie. Automorphisms of free groups with boundaries. Algebr. Geom. Topol. 4 (2004), no. 1, 543--569. doi:10.2140/agt.2004.4.543. https://projecteuclid.org/euclid.agt/1513882487