Geometry & Topology
- Geom. Topol.
- Volume 7, Number 2 (2003), 757-771.
Area preserving group actions on surfaces
Suppose is an almost simple group containing a subgroup isomorphic to the three-dimensional integer Heisenberg group. For example any finite index subgroup of is such a group. The main result of this paper is that every action of on a closed oriented surface by area preserving diffeomorphisms factors through a finite group.
Geom. Topol., Volume 7, Number 2 (2003), 757-771.
Received: 28 March 2003
Revised: 26 October 2003
Accepted: 29 October 2003
First available in Project Euclid: 21 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 57S25: Groups acting on specific manifolds
Secondary: 37E30: Homeomorphisms and diffeomorphisms of planes and surfaces
Franks, John; Handel, Michael. Area preserving group actions on surfaces. Geom. Topol. 7 (2003), no. 2, 757--771. doi:10.2140/gt.2003.7.757. https://projecteuclid.org/euclid.gt/1513883321