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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The Bieri-Neumann-Strebel invariant for basis-conjugating automorphisms of free groups


Author: Lisa A. Orlandi-Korner
Journal: Proc. Amer. Math. Soc. 128 (2000), 1257-1262
MSC (2000): Primary 20F28; Secondary 20E08
Published electronically: February 7, 2000
MathSciNet review: 1712889
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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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05678-1
PII: S 0002-9939(00)05678-1
Received by editor(s): March 15, 1998
Published electronically: February 7, 2000
Communicated by: Ronald M. Solomon
Article copyright: © Copyright 2000 American Mathematical Society