Involutions on tori with codimension-one fixed point set

• Autorzy: Allan L. Edmonds
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 57S25: Groups acting on specific manifolds
• 57S17: Finite transformation groups
• 57R67: Surgery obstructions, Wall groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 117
• Numer: 2
• Strony: 257-266

Daty

wydano

2009

Twórcy

autor

Allan L. Edmonds

• Department of Mathematics, Indiana University, Bloomington, IN 47405, U.S.A.

Identyfikatory

DOI

10.4064/cm117-2-8