Abelian class groups of reductive group schemes

Details Abelian class groups of reductive group schemes Abelian class groups of reductive group schemes

2011-08-16

arxiv.org/abs/1108.3264v4

Mathematics

Number Theory

33 pages. Final version accepted for publication

Scientific paper

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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