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Article Dans Une Revue Journal of topology Année : 2019

Groups with infinitely many ends acting analytically on the circle

Résumé

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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Dates et versions

hal-01178641 , version 1 (17-07-2017)

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Sébastien Alvarez, Dmitry Filimonov, Victor A. Kleptsyn, Dominique Malicet, Carlos Meniño, et al.. Groups with infinitely many ends acting analytically on the circle. Journal of topology, 2019, 12 (4), pp.1315-1367. ⟨10.1112/topo.12118⟩. ⟨hal-01178641⟩
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