A weak Zassenhaus Lemma for discrete subgroups of Diff(<i>I</i>)

Azer Akhmedov

Type: Article

Publication Date: 2014-01-09

Citations: 5

DOI: https://doi.org/10.2140/agt.2014.14.539

Abstract

We prove a weaker version of the Zassenhaus Lemma for subgroups of Diff.I/. We also show that a group with commutator subgroup containing a non-Abelian free subsemigroup does not admit a C0 ‐discrete faithful representation in Diff.I/. 37C05; 20F65

Locations

Algebraic & Geometric Topology - View - PDF
Project Euclid (Cornell University) - View - PDF

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Works Cited by This (8)

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+	Discrete Subgroups of Lie Groups	1972	M. S. Raghunathan
+	Groups of diffeomorphisms of one-manifolds, III: Nilpotent subgroups	2001	Benson Farb John Franks
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+ PDF Chat	Growth of Groups and Diffeomorphisms of the Interval	2008	Andrés Navas
+ PDF Chat	Regular iteration of real and complex functions	1958	G Szekeres
+	Polynomial growth in holonomy groups of foliations	1976	J. F. Plante William P. Thurston
+	Groups of homeomorphisms of one-manifolds III: nilpotent subgroups	2003	Benson Farb John Franks
+	DISCRETE SUBGROUPS OF LIE GROUPS	1972	Raghunathan