Involutions on tori with codimension-one fixed point set
Volume 117 / 2009
Colloquium Mathematicum 117 (2009), 257-266
MSC: Primary 57S25, 57S17; Secondary 57R67.
DOI: 10.4064/cm117-2-8
Abstract
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.
