Involutions on tori with codimension-one fixed point set

Allan L. Edmonds

Colloquium Mathematicae (2009)

  • Volume: 117, Issue: 2, page 257-266
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Allan L. Edmonds. "Involutions on tori with codimension-one fixed point set." Colloquium Mathematicae 117.2 (2009): 257-266. <http://eudml.org/doc/283415>.

@article{AllanL2009,
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.},
author = {Allan L. Edmonds},
journal = {Colloquium Mathematicae},
keywords = {Involution; homology torus; fixed point set},
language = {eng},
number = {2},
pages = {257-266},
title = {Involutions on tori with codimension-one fixed point set},
url = {http://eudml.org/doc/283415},
volume = {117},
year = {2009},
}

TY - JOUR
AU - Allan L. Edmonds
TI - Involutions on tori with codimension-one fixed point set
JO - Colloquium Mathematicae
PY - 2009
VL - 117
IS - 2
SP - 257
EP - 266
AB - 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.
LA - eng
KW - Involution; homology torus; fixed point set
UR - http://eudml.org/doc/283415
ER -

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