Automorphisms of free groups with boundaries
Research output: Contribution to journal › Journal article › Research › peer-review
The automorphisms of free groups with boundaries form a family of groups A_{n,k} closely related to mapping class groups, with the standard automorphisms of free groups as A_{n,0} and (essentially) the symmetric automorphisms of free groups as A_{0,k}. We construct a contractible space L_{n,k} on which A_{n,k} acts with finite stabilizers and finite quotient space and deduce a range for the virtual cohomological dimension of A_{n,k}. We also give a presentation of the groups and calculate their first homology group.
Original language | English |
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Journal | Algebr. Geom. Topol. |
Volume | 4 |
Pages (from-to) | 543-569 |
Publication status | Published - 2004 |
Bibliographical note
Keywords: math.GT; math.AT; 20F65, 20F28, 20F05
ID: 9396696