Involutions on tori with codimension one fixed point set

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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.
Corrects error in previous lemma 3.2, adds details for the case when the fixed point set is connected

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Geometric Topology, 57S25; 57S17

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http://salesiana.dossiersoluciones.com/handle/123456789/142354

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.2612
 http://arxiv.org/abs/0710.2612

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arXiv