On 3-Manifolds with Finite Solvable Fundamental Groups.
On equivariant finiteness
On finite groups acting on a connected sum of 3-manifolds S² × S¹
Let denote the closed 3-manifold obtained as the connected sum of g copies of S² × S¹, with free fundamental group of rank g. We prove that, for a finite group G acting on which induces a faithful action on the fundamental group, there is an upper bound for the order of G which is quadratic in g, but there does not exist a linear bound in g. This implies then a Jordan-type bound for arbitrary finite group actions on which is quadratic in g. For the proofs we develop a calculus for finite group...
On finite groups acting on acyclic complexes of dimension two.
We conjecture that every finite group G acting on a contractible CW-complex X of dimension 2 has at least one fixed point. We prove this in the case where G is solvable, and under this additional hypothesis, the result holds for X acyclic.
On finite groups acting on acyclic low-dimensional manifolds
We consider finite groups which admit a faithful, smooth action on an acyclic manifold of dimension three, four or five (e.g. Euclidean space). Our first main result states that a finite group acting on an acyclic 3- or 4-manifold is isomorphic to a subgroup of the orthogonal group O(3) or O(4), respectively. The analogous statement remains open in dimension five (where it is not true for arbitrary continuous actions, however). We prove that the only finite nonabelian simple groups admitting a smooth...
On finite groups of isometries of handlebodies in arbitrary dimensions and finite extensions of Schottky groups
It is known that the order of a finite group of diffeomorphisms of a 3-dimensional handlebody of genus g > 1 is bounded by the linear polynomial 12(g-1), and that the order of a finite group of diffeomorphisms of a 4-dimensional handlebody (or equivalently, of its boundary 3-manifold), faithful on the fundamental group, is bounded by a quadratic polynomial in g (but not by a linear one). In the present paper we prove a generalization for handlebodies of arbitrary dimension d, uniformizing handlebodies...
On for dimensional s-cobordisms, II.
On Injective Rational Coefficient Systems.
On Murasugi's and Traczyk's Criteria for Periodic Links.
On s-cobordisms of metacyclic prism manifolds.
On the classification of G-spheres II: PL automorphism groups.
On the components of the principal part of a manifold with a finite group action
On the finiteness obstruction of certain periodic groups.
On the genus of represenattion spheres.
On the geometric topology of locally linear actions of finite groups
On the Hantzsche-Wendt Manifold.
On the Homology of Finite Free (Z/2)n-Complexes.
On the homotopy theory of equivariant automorphism groups.
On the Index of Approximating Sets of Periodic Points.
On the Rank of Abelian Groups Acting Freely on (Sn)k.