Area preserving group actions on surfaces
نویسندگان
چکیده
منابع مشابه
Area preserving group actions on surfaces
Suppose G is an almost simple group containing a subgroup isomorphic to the three-dimensional 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.
متن کاملArea preserving group actions on S 2
The main result of this paper is that every action of a finite index subgroup of SL(3, Z) on S2 by area preserving diffeomorphisms factors through a finite group. An important tool we use, which may be of independent interest is the result that if F : S2 → S2 is a non-trivial, area preserving, orientation preserving diffeomorphism and if Fix(F ) contains at least three points, then F has points...
متن کاملOrientation Preserving Actions on Surfaces
In this article we completely classify orientation preserving actions of groups Z m pk (p is a prime integer) on compact oriented surfaces. 2000 Math. Subj. Class. 57M12, 30F10.
متن کاملDistortion Elements in Group actions on surfaces
If G is a finitely generated group with generators {g1, . . . , gj} then an infinite order element f ∈ G is a distortion element of G provided lim inf n→∞ |f|/n = 0, where |f| is the word length of f in the generators. Let S be a closed orientable surface and let Diff(S)0 denote the identity component of the group of C diffeomorphisms of S. Our main result shows that if S has genus at least two...
متن کاملNonsmoothable Group Actions on Elliptic Surfaces
Let G be a cyclic group of order 3, 5 or 7, and X = E(n) be the relatively minimal elliptic surface with rational base. In this paper, we prove that under certain conditions on n, there exists a locally linear G-action on X which is nonsmoothable with respect to infinitely many smooth structures on X . This extends the main result of [18].
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2003
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2003.7.757