Icosahedral group actions on R3.
Involutions of 3-dimensional handlebodies
We study the orientation preserving involutions of the orientable 3-dimensional handlebody , for any genus g. A complete classification of such involutions is given in terms of their fixed points.
Involutions on Spheres and Mahowald's Root Invariant.
Involutions on tori with codimension-one fixed point set
The standard P. A. Smith theory of p-group actions on spheres, disks, and euclidean spaces is extended to the case of p-group actions on tori (i.e., products of circles) and coupled with topological surgery theory to give a complete topological classification, valid in all dimensions, of the locally linear, orientation-reversing, involutions on tori with fixed point set of codimension one.
Involutions with n-Dimensional Fixed-Sets.