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THE NIELSEN KERNEL OF AN ARBITRARY RIEMANN SURFACE

Published online by Cambridge University Press:  20 September 2006

MATTHEW M. JONES
MATTHEW M. JONES
Affiliation:
Mathematics Department, Middlesex University, The Burroughs, London NW4 4BT, United Kingdomm.m.jones@mdx.ac.uk
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Abstract

By considering coverings of surfaces by annuli, we extend previous results concerning the Nielsen kernel of topologically finite Riemann surfaces to arbitrary orbifolds. Specifically, we show that the length of a boundary loop in the Nielsen kernel is strictly greater than twice the length of the corresponding boundary loop of its orbifold, and that the infinite Nielsen kernel has empty interior.

Keywords

30F99 (primary)30F60 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 5 , October 2006 , pp. 825 - 828
Copyright
© The London Mathematical Society 2006

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