Volume 17, issue 1 (2013)

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

Volume 20
Issue 4, 1807–2438
Issue 3, 1257–1806
Issue 2, 629–1255
Issue 1, 1–627

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Subscriptions
Author Index
To Appear
Contacts
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Noncoherence of arithmetic hyperbolic lattices

Michael Kapovich

Geometry & Topology 17 (2013) 39–71
Abstract

We prove that all arithmetic lattices in O(n,1), n 4, n7, are noncoherent. We also establish noncoherence of uniform arithmetic lattices of the simplest type in SU(n,1), n 2, and of uniform lattices in SU(2,1) which have infinite abelianization.

Keywords
Arithmetic groups, noncoherence, example, sample layout
Mathematical Subject Classification 2010
Primary: 11F06
Secondary: 20F67
References
Publication
Received: 7 September 2011
Revised: 2 September 2012
Accepted: 12 July 2012
Published: 14 February 2013
Proposed: Martin Bridson
Seconded: Walter Neumann, Leonid Polterovich
Authors
Michael Kapovich
Department of Mathematics
University of California
Davis, CA 95616
USA
http://www.math.ucdavis.edu/~kapovich