The pq-condition for $3$-manifold groups
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- by Siddhartha Gadgil PDF
- Proc. Amer. Math. Soc. 129 (2001), 1873-1875 Request permission
Abstract:
We give an elementary, topological proof of the fact that any subgroup of order $pq$ of a finite $3$-manifold group is cyclic if $p$ and $q$ are distinct odd primes. This condition, together with related results of Milnor and Reidemeister, implies that such a group acts orthogonally on some sphere.References
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Additional Information
- Siddhartha Gadgil
- Affiliation: Department of Mathematics, SUNY at Stony Brook, Stony Brook, New York 11794
- Email: gadgil@math.sunysb.edu
- Received by editor(s): October 11, 1999
- Published electronically: November 30, 2000
- Communicated by: Ronald A. Fintushel
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 1873-1875
- MSC (2000): Primary 57M05, 57M60
- DOI: https://doi.org/10.1090/S0002-9939-00-05880-9
- MathSciNet review: 1814121