A Birman exact sequence for the Torelli subgroup of Aut(Fn)
Document Type
Article
Publication Date
2016
Keywords
automorphism groups of free groups, cohomology of groups, group extensions, presentations of groups
Abstract
We develop an analogue of the Birman exact sequence for the Torelli subgroup of Aut(Fn). This builds on earlier work of the authors, who studied an analogue of the Birman exact sequence for the entire group Aut(Fn). These results play an important role in the authors’ recent work on the second homology group of the Torelli group.
Citation
Day, M. B., & Putman, A. (2016). A Birman exact sequence for the Torelli subgroup of Aut(Fn). Mathematical Sciences Faculty Publications and Presentations. Retrieved from https://scholarworks.uark.edu/mascpub/2
Comments
Principal Investigator: Matthew Day