Geodesic
Free 2-rank of symmetry of products of Milnor manifolds
Homology, homotopy, and applications, Tome 16 (2014) no. 1, pp. 65-81.

Voir la notice de l'article provenant de la source International Press of Boston

A real Milnor manifold is the non-singular hypersurface of degree $(1,1)$ in the product of two real projective spaces. These manifolds were introduced by Milnor to give generators for the unoriented cobordism algebra, and they admit free actions by elementary abelian 2-groups. In this paper, we obtain some results on the free 2-rank of symmetry of products of finitely many real Milnor manifolds under the assumption that the induced action on mod 2 cohomology is trivial. Similar results are obtained for complex Milnor manifolds that are defined analogously. Here the free 2-rank of symmetry of a topological space is the maximal rank of an elementary abelian 2-group that acts freely on that space.
DOI : 10.4310/HHA.2014.v16.n1.a4
Classification : 57S25, 55T10, 57S17
Keywords: free rank, Milnor manifold, Leray-Serre spectral sequence, Steenrod algebra 
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Mahender Singh. Free 2-rank of symmetry of products of Milnor manifolds. Homology, homotopy, and applications, Tome 16 (2014) no. 1, pp. 65-81. doi : 10.4310/HHA.2014.v16.n1.a4. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2014.v16.n1.a4/

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