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2010 Exponential generation and largeness for compact $p$-adic Lie groups
Michael Larsen
Algebra Number Theory 4(8): 1029-1038 (2010). DOI: 10.2140/ant.2010.4.1029

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).

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Michael Larsen. "Exponential generation and largeness for compact $p$-adic Lie groups." Algebra Number Theory 4 (8) 1029 - 1038, 2010. https://doi.org/10.2140/ant.2010.4.1029

Information

Received: 15 May 2009; Revised: 21 July 2010; Accepted: 21 July 2010; Published: 2010
First available in Project Euclid: 20 December 2017

zbMATH: 1219.22011
MathSciNet: MR2832632
Digital Object Identifier: 10.2140/ant.2010.4.1029

Subjects:
Primary: 20G25
Secondary: 20G40

Keywords: $p$-adic Lie group , exponentially generated , Nori's theorem

Rights: Copyright © 2010 Mathematical Sciences Publishers

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Vol.4 • No. 8 • 2010
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