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On cyclic group actions of even order on the three dimensional torus

Published online by Cambridge University Press:  17 April 2009

M.A. Natsheh
M.A. Natsheh
Affiliation:
Department of Mathematics, University of Jordan, Amman, Jordan Department of Mathematics, Michigan State University, E. Lansing, MI 48824, United States of America
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Abstract

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In this paper, we prove that if h is a generator of a Z2n, action on S1 × S1 × S1, and Fix(hn) consists of two disjoint tori, one torus, four simple closed curves, or two simple closed curves, then h is equivalent to the obvious actions.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 37 , Issue 2 , April 1988 , pp. 189 - 196
Copyright
Copyright © Australian Mathematical Society 1988

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