Imbeddings of free actions on handlebodies
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- by Darryl McCullough PDF
- Proc. Amer. Math. Soc. 131 (2003), 2247-2253 Request permission
Abstract:
Fix a free, orientation-preserving action of a finite group $G$ on a $3$-dimensional handlebody $V$. Whenever $G$ acts freely preserving orientation on a connected $3$-manifold $X$, there is a $G$-equivariant imbedding of $V$ into $X$. There are choices of $X$ closed and Seifert-fibered for which the image of $V$ is a handlebody of a Heegaard splitting of $X$. Provided that the genus of $V$ is at least $2$, there are similar choices with $X$ closed and hyperbolic.References
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Additional Information
- Darryl McCullough
- Affiliation: Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019
- Email: dmccullough@math.ou.edu
- Received by editor(s): October 9, 2001
- Received by editor(s) in revised form: February 14, 2002
- Published electronically: October 15, 2002
- Additional Notes: The author was supported in part by NSF grant DMS-0102463
- Communicated by: Ronald A. Fintushel
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 2247-2253
- MSC (2000): Primary 57M60; Secondary 57M50
- DOI: https://doi.org/10.1090/S0002-9939-02-06754-0
- MathSciNet review: 1963774