Conservative subgroup separability for surfaces with boundary

Baker, Mark D; Cooper, Daryl

doi:10.2140/agt.2013.13.115

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ISSN (electronic): 1472-2739

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Conservative subgroup separability for surfaces with boundary

Mark D Baker and Daryl Cooper

Algebraic & Geometric Topology 13 (2013) 115–125

DOI: 10.2140/agt.2013.13.115

Abstract

If $F$ is a compact surface with boundary, then a finitely generated subgroup without peripheral elements of $G = π_{1} (F)$ can be separated from finitely many other elements of $G$ by a finite index subgroup of $G$ corresponding to a finite cover $\tilde{F}$ with the same number of boundary components as $F$ .

Keywords

subgroup separability

Mathematical Subject Classification 2010

Primary: 57M05

Secondary: 20E26, 57M07, 57M10, 57N05

References

Publication

Received: 19 April 2012

Revised: 19 September 2012

Accepted: 24 September 2012

Published: 7 February 2013

Authors

Mark D Baker
IRMAR Université de Rennes 1 35042 Rennes Cedex France

Daryl Cooper
Department of Mathematics University of California Santa Barbara, CA 93106 USA
http://www.math.ucsb.edu/~cooper/

Volume 13, issue 1 (2013)