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Imbeddings of free actions on handlebodies |
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| Authors: | Darryl McCullough |
| Affiliation: | Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019 |
| Abstract: | Fix a free, orientation-preserving action of a finite group  on a  -dimensional handlebody  . Whenever  acts freely preserving orientation on a connected  -manifold  , there is a  -equivariant imbedding of  into  . There are choices of  closed and Seifert-fibered for which the image of  is a handlebody of a Heegaard splitting of  . Provided that the genus of  is at least  , there are similar choices with  closed and hyperbolic. |
| Keywords: | 3-manifold handlebody group action free free action imbed imbedding equivariant invariant hyperbolic Seifert Heegaard Heegaard splitting Whitehead link |
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