Geodesic
Involutions on tori with codimension-one fixed point set
Allan L. Edmonds1
1 Department of Mathematics Indiana University Bloomington, IN 47405, U.S.A.
Colloquium Mathematicum, Tome 117 (2009) no. 2, pp. 257-266 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm117-2-8
Keywords: standard smith theory p group actions spheres disks euclidean spaces extended p group actions tori products circles coupled topological surgery theory complete topological classification valid dimensions locally linear orientation reversing involutions tori fixed point set codimension

Allan L. Edmonds 1

1 Department of Mathematics Indiana University Bloomington, IN 47405, U.S.A. 
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 codimension-one fixed point set},
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 codimension-one fixed point set
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 codimension-one fixed point set
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Allan L. Edmonds. Involutions on tori with
 codimension-one fixed point set. Colloquium Mathematicum, Tome 117 (2009) no. 2, pp. 257-266. doi: 10.4064/cm117-2-8

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