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Imbeddings of free actions on handlebodies
Author(s):
Darryl
McCullough
Journal:
Proc. Amer. Math. Soc.
131
(2003),
2247-2253.
MSC (2000):
Primary 57M60;
Secondary 57M50
Posted:
October 15, 2002
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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.
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Additional Information:
Darryl
McCullough
Affiliation:
Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019
Email:
dmccullough@math.ou.edu
DOI:
10.1090/S0002-9939-02-06754-0
PII:
S 0002-9939(02)06754-0
Keywords:
3-manifold,
handlebody,
group action,
free,
free action,
imbed,
imbedding,
equivariant,
invariant,
hyperbolic,
Seifert,
Heegaard,
Heegaard splitting,
Whitehead link
Received by editor(s):
October 9, 2001
Received by editor(s) in revised form:
February 14, 2002
Posted:
October 15, 2002
Additional Notes:
The author was supported in part by NSF grant DMS-0102463
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
2002,
American Mathematical Society
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