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Beilinson-Kato elements in K₂ of modular curves

François Brunault (2008)

Acta Arithmetica

Bivariant $K$ -theory for locally convex algebras and the Chern-Connes character. (Bivariante $K$ -Theorie für lokalconvexe Algebren und der Chern-Connes-Charakter.)

Cuntz, Joachim (1997)

Documenta Mathematica

Bounded countable atomic compactness of ordered groups

Friedrich Wehrung (1995)

Fundamenta Mathematicae

Bounds For Étale Capitulation Kernels II

Mohsen Asghari-Larimi, Abbas Movahhedi (2009)

Annales mathématiques Blaise Pascal

Let $p$ be an odd prime and $E / F$ a cyclic $p$ -extension of number fields. We give a lower bound for the order of the kernel and cokernel of the natural extension map between the even étale $K$ -groups of the ring of $S$ -integers of $E / F$ , where $S$ is a finite set of primes containing those which are $p$ -adic.

Brauer relations in finite groups

Alex Bartel, Tim Dokchitser (2015)

Journal of the European Mathematical Society

If $G$ is a non-cyclic finite group, non-isomorphic $G$ -sets $X, Y$ may give rise to isomorphic permutation representations $ℂ [X] ≅ ℂ [Y]$ . Equivalently, the map from the Burnside ring to the rational representation ring of $G$ has a kernel. Its elements are called Brauer relations, and the purpose of this paper is to classify them in all finite groups, extending the Tornehave–Bouc classification in the case of $p$ -groups.