Geodesic
Period three actions on lens spaces
Maher, Joseph1
1Department of Mathematics, Oklahoma State University, 427 Mathematical Sciences, Stillwater OK 74078, USA
Algebraic and Geometric Topology, Tome 7 (2007) no. 4, pp. 2021-2102
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We prove that a free ℤ3 action on a lens space is standard. This extends to lens spaces earlier work of Maher and Rubinstein on ℤ3 actions on S3. It follows using previously known results that a free action of a group of order 2a3b on S3 is standard.

DOI : 10.2140/agt.2007.7.2021
Keywords: 3–manifold, 3–sphere, lens space, $\mathbb{Z}_3$–action, group action, spherical 3–manifold

Maher, Joseph  1

1 Department of Mathematics, Oklahoma State University, 427 Mathematical Sciences, Stillwater OK 74078, USA 
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Maher, Joseph. Period three actions on lens spaces. Algebraic and Geometric Topology, Tome 7 (2007) no. 4, pp. 2021-2102. doi: 10.2140/agt.2007.7.2021

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