Commutator subgroups and foliations without holonomy
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- Proc. Amer. Math. Soc. 130 (2002), 2471-2477 Request permission
Abstract:
Suppose a manifold $M$ has a codimension one, transversely orientable foliation without holonomy, and $L$ is a leaf. We give a simple, purely topological proof of the theorem that $\pi _1(L)$ is a normal subgroup containing the commutator subgroup of $\pi _1(M)$.References
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Additional Information
- Tao Li
- Affiliation: Department of Mathematics, C1200, University of Texas at Austin, Austin, Texas 78712
- Address at time of publication: Department of Mathematics, 401 Mathematical Sciences, Oklahoma State University, Stillwater, Oklahoma 74078
- Email: taoli@math.utexas.edu, tli@math.okstate.edu
- Received by editor(s): October 2, 2000
- Received by editor(s) in revised form: March 9, 2001
- Published electronically: January 23, 2002
- Communicated by: Ronald A. Fintushel
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 2471-2477
- MSC (2000): Primary 57N10, 57R30
- DOI: https://doi.org/10.1090/S0002-9939-02-06406-7
- MathSciNet review: 1897474