Volume 7, issue 4 (2007)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Period three actions on lens spaces

Joseph Maher

Algebraic & Geometric Topology 7 (2007) 2021–2102

arXiv: math.GT/0311009

Abstract

We prove that a free 3 action on a lens space is standard. This extends to lens spaces earlier work of Maher and Rubinstein on 3 actions on S3. It follows using previously known results that a free action of a group of order 2a3b on S3 is standard.

Keywords
3–manifold, 3–sphere, lens space, $\mathbb{Z}_3$–action, group action, spherical 3–manifold
Mathematical Subject Classification 2000
Primary: 57N10, 57M50, 57M60
Secondary: 57M40
References
Publication
Received: 4 November 2003
Revised: 25 September 2007
Accepted: 24 October 2007
Published: 26 December 2007
Authors
Joseph Maher
Department of Mathematics
Oklahoma State University
427 Mathematical Sciences
Stillwater OK 74078
USA
http://www.math.okstate.edu/~maher/