Abstract
Suppose G is an almost simple group containing a subgroup isomorphic to the three-dimensional integer Heisenberg group. For example any finite index subgroup of SL(3,ℤ) is such a group. The main result of this paper is that every action of G on a closed oriented surface by area preserving diffeomorphisms factors through a finite group.
Original language | English (US) |
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Pages (from-to) | 757-771 |
Number of pages | 15 |
Journal | Geometry and Topology |
Volume | 7 |
DOIs | |
State | Published - 2003 |
Keywords
- Almost simple
- Group actions
- Heisenberg group
ASJC Scopus subject areas
- Geometry and Topology