Groups with infinitely many ends acting analytically on the circle

Abstract : This article is inspired by two milestones in the study of non-minimal group actions on the circle: Duminy's theorem about the number of ends of semi-exceptional leaves, and Ghys' freeness result in real-analytic regularity. Our first result concerns groups of real-analytic diffeomorphisms with infinitely many ends: if the action is non expanding, then the group is virtually free. The second result is a Duminy type theorem for minimal codimension-one foliations: either non-expandable leaves have infinitely many ends, or the holonomy pseudogroup preserves a projective structure.
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Pré-publication, Document de travail
49 pages. 2015
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Dernière modification le : samedi 23 septembre 2017 - 01:10:42

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  • HAL Id : hal-01178641, version 1
  • ARXIV : 1506.03839

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Sébastien Alvarez, Dmitry Filimonov, Victor Kleptsyn, Dominique Malicet, Carlos Meniño, et al.. Groups with infinitely many ends acting analytically on the circle. 49 pages. 2015. 〈hal-01178641〉

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