Abelian class groups of reductive group schemes |
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Authors: | Cristian D. González-Avilés |
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Affiliation: | 1. Departamento de Matemáticas, Universidad de La Serena, Cisternas 1200, La Serena, Chile
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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 basic properties. For example, 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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