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K 2 et conjecture de Greenberg dans les p -extensions multiples

Thong Nguyen Quang Do, David Vauclair (2005)

Journal de Théorie des Nombres de Bordeaux

Pour un corps de nombres K contenant une racine primitive p -ième de l’unité, nous proposons une condition suffisante, en termes de K 2 , pour la validité de la conjecture de Greenberg généralisée. Celle-ci s’applique pour les corps cyclotomiques vérifiant certaines conditions, par exemple ( μ 37 ) .

K-theory, flat bundles and the Borel classes

Bjørn Jahren (1999)

Fundamenta Mathematicae

Using Hausmann and Vogel's homology sphere bundle interpretation of algebraic K-theory, we construct K-theory invariants by a theory of characteristic classes for flat bundles. It is shown that the Borel classes are detected this way, as well as the rational K-theory of integer group rings of finite groups.

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