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- W2081567775 abstract "Suppose a closed, orientable, irreducible 3-manifold M admits a free cyclic group action of prime order. We consider the problem of determining when M admits an effective action of the circle group SO(2) in which the cyclic action is imbedded. The main result is that if the Zk action is Z-classified, then it is weakly equivalent to a Zk action imbedded in an effective action of SO(2) if and only if some homeomorphism generating the first Zk action is homotopic to the identity homeomorphism on M. Let Zk be a cyclic group of prime order k > 2. A Zk action on a 3manifold M is said to be proper if some homeomorphism generating the action is homotopic to the identity on M. Let M* denote the orbit space M/Zk and 7r: M-->M* denote the projection. We shall say that a Zk action on M is Z-classified if there exists a commutative diagram" @default.
- W2081567775 created "2016-06-24" @default.
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- W2081567775 date "1970-04-01" @default.
- W2081567775 modified "2023-09-24" @default.
- W2081567775 title "Imbedding free cyclic group actions in circle group actions" @default.
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- W2081567775 doi "https://doi.org/10.1090/s0002-9939-1970-0267580-1" @default.
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