Volume 13, issue 1 (2013)

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Conservative subgroup separability for surfaces with boundary

Mark D Baker and Daryl Cooper

Algebraic & Geometric Topology 13 (2013) 115–125
Abstract

If F is a compact surface with boundary, then a finitely generated subgroup without peripheral elements of G = π1(F) can be separated from finitely many other elements of G by a finite index subgroup of G corresponding to a finite cover F̃ 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/