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arXiv · 1108.3264

Abelian class groups of reductive group schemes

Cristian D. Gonzalez-Aviles
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Abstract

We introduce the abelian class group C_{ab}(G) of a reductive group scheme G over a ring A of arithmetical interest and study some of its properties. In particular, we show that if the fraction field of A is a global field without real primes, then there exists a surjection C(G)-->> C_{ab}(G), where C(G) is the class set of G.

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Cristian D. Gonzalez-Aviles. 2011-08-16. Abelian class groups of reductive group schemes. https://arxiv.org/abs/1108.3264

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