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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Periodic homeomorphisms of $ 3$-manifolds fibered over $ S\sp{1}$


Author: Jeffrey L. Tollefson
Journal: Trans. Amer. Math. Soc. 223 (1976), 223-234
MSC: Primary 57A10; Secondary 55A10
DOI: https://doi.org/10.1090/S0002-9947-1976-0431177-0
Erratum: Trans. Amer. Math. Soc. 243 (1978), 309-310.
MathSciNet review: 0431177
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Abstract: Two problems concerning periodic homeomorphisms of 3-manifolds are considered. The first is that of obtaining systems of incompressible surfaces invariant under a given involution. The second problem is the realization by a periodic homeomorphism of an element of finite order in the mapping class group of a 3-manifold. Solutions to both problems are obtained in certain instances.


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DOI: https://doi.org/10.1090/S0002-9947-1976-0431177-0
Article copyright: © Copyright 1976 American Mathematical Society