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Stiefel-Whitney classes and toral actions

✍ Scribed by Janey Daccach; Arthur Wasserman


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
613 KB
Volume
21
Category
Article
ISSN
0166-8641

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We construct a class of compact flat Riemannian manifolds M of dimension 2n + 1 with the following properties: (1) M has holonomy group (Z 2 ) n+1 , (2) M is not a (non-trivial) flat toral extension of a compact flat manifold, (3) the first Betti number of M is 0, and (4) Stiefel-Whitney classes w

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We shall give cohomological proofs of these results. Furthermore, we prove From this, we get Ž . THEOREM B. Let p s 2. If G is d-maximal, then cl G F 2 pro¨ided that one of the following conditions is satisfied: