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Orders of elements in
finite quotients of Kleinian groups
Peter B. Shalen |
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Vol. 256 (2012), No. 1, 211–234
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Abstract |
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A positive integer m will be called a finitistic order for an element γ of a group Γ if there exist a finite group G and a homomorphism h : Γ → G such that h(γ) has order m in G. It is shown that up to conjugacy, all but finitely many elements of a given finitely generated, torsion-free Kleinian group admit a given integer m > 2 as a finitistic order. |
Keywords
3-manifold, group, finite quotient, order, finitistic
order, number field
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Mathematical Subject Classification 2010
Primary: 20F99, 57M50
Secondary: 11R27
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Milestones
Received: 8 May 2011
Revised: 15 November 2011
Accepted: 21 November 2011
Published: 6 May 2012
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Authors |
| Peter B. Shalen | |
| Department of Mathematics,
Statistics, and Computer Science (M/C 249) University of Illinois at Chicago 851 S. Morgan St. Chicago IL 60607-7045 United States |
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