Vol. 4, No. 8, 2010

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

Volume 10
Issue 9, 1845–2052
Issue 8, 1601–1843
Issue 7, 1373–1600
Issue 6, 1147–1371
Issue 5, 939–1146
Issue 4, 695–938
Issue 3, 451–694
Issue 2, 215–450
Issue 1, 1–214

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
Cover
Editorial Board
Editors' Addresses
Editors' Interests
About the Journal
Scientific Advantages
Submission Guidelines
Submission Form
Subscriptions
Editorial Login
Contacts
Author Index
To Appear
 
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Exponential generation and largeness for compact $p$-adic Lie groups

Michael Larsen

Vol. 4 (2010), No. 8, 1029–1038
Abstract

Given a fixed integer n, we consider closed subgroups G of GLn(p), where p is sufficiently large in terms of n. Assuming that the identity component of the Zariski closure G of G in GLn,p does not admit any nontrivial torus as quotient group, we give a condition on the ( modp) reduction of G which guarantees that G is of bounded index in GLn(p) G(p).

Keywords
exponentially generated, Nori's theorem, $p$-adic Lie group
Mathematical Subject Classification 2000
Primary: 20G25
Secondary: 20G40
Milestones
Received: 15 May 2009
Revised: 21 July 2010
Accepted: 21 July 2010
Published: 24 February 2011
Authors
Michael Larsen
Department of Mathematics
Rawles Hall
Indiana University
Bloomington, IN 47405-5701
United States
http://mlarsen.math.indiana.edu/~larsen/