A weak Zassenhaus lemma for discrete subgroups of Diff(I)

preprint2013arXivOpen access

Abstract

We prove a weaker version of Zassenhaus Lemma (also known as Margulis Lemma) for subgroups of Diff(I). We also show that a group with commutator subgroup containing a free subsemigroup does not admit a C_0-discrete faithful representation in Diff(I).

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