Volume 13, issue 1 (2013)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 18
Issue 4, 1883–2507
Issue 3, 1259–1881
Issue 2, 635–1258
Issue 1, 1–633

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
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/