Left-orderable groups that don’t act on the line

Mathematische Zeitschrift

Volumn 280, Issue 3-4, 2015, Pages 905-918

  Mann, Kathryn ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Germs of homeomorphisms; Group actions; Homeomorphisms of the line; Orderable group

Indexed keywords

EID: 84937970490     PISSN: 00255874     EISSN: 14321823     Source Type: Journal    
DOI: 10.1007/s00209-015-1455-2     Document Type: Article

References (8)

1. Deroin, B., Navas, A., Rivas, C.: Groups, Orders, and Dynamics. Preprint. arXiv:1408.5805 (2014)
2. Fine, N., Schweigert, G.: On the Group of Homeomorphisms of an Arc. Ann. Math. 62(2), 237–253 (1955)
3. Ghys, E.: Groups acting on the circle. L’Enseign. Math. 47, 329–407 (2001)
4. Holland, W.C.: The lattice-ordered group of automorphisms of an ordered set. Mich. Math. J. 10, 399–408 (1963)
5. Kopytov, V., Medvedev, N.: Right ordered groups. Siberian School of Algebra and Logic, Plenum Publ. Corp, New York (1996)
6. Matsumoto, S.: Numerical invariants for semiconjugacy of homeomorphisms of the circle. Proc. AMS 98(1), 163–168 (1986)
7. Militon, E.: Actions of groups of homeomorphisms on one-manifolds. Preprint. arXiv:1302.3737 (2013)
8. Navas, A.: On the dynamics of (left) orderable groups. Preprint. arXiv:0710.2466 (2010)