Imbeddings of free actions on handlebodies

Author:
Darryl McCullough

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

Published electronically:
October 15, 2002

MathSciNet review:
1963774

Full-text PDF

Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9939-02-06754-0

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

Published electronically:
October 15, 2002

Additional Notes:
The author was supported in part by NSF grant DMS-0102463

Communicated by:
Ronald A. Fintushel

Article copyright:
© Copyright 2002
American Mathematical Society