The Bieri-Neumann-Strebel invariant for basis-conjugating automorphisms of free groups
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- by Lisa A. Orlandi-Korner PDF
- Proc. Amer. Math. Soc. 128 (2000), 1257-1262 Request permission
Abstract:
The pure symmetric automorphism group of the free group on $n$ generators, $P\Sigma _n$, consists of those automorphisms which take each generator to a conjugate of itself. We describe the Bieri-Neumann-Strebel invariant of $P\Sigma _n$, which determines, among other things, which subgroups containing the commutator are finitely generated.References
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Additional Information
- Lisa A. Orlandi-Korner
- Affiliation: Department of Mathematics, Cornell University, White Hall, Ithaca, New York 14853
- Address at time of publication: Department of Mathematics and Statistics, University of Nebraska, Lincoln, Nebraska 68588-0323
- Email: lorlandi@math.unl.edu
- Received by editor(s): March 15, 1998
- Published electronically: February 7, 2000
- Communicated by: Ronald M. Solomon
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 1257-1262
- MSC (2000): Primary 20F28; Secondary 20E08
- DOI: https://doi.org/10.1090/S0002-9939-00-05678-1
- MathSciNet review: 1712889