The algebraic fundamental group of a reductive group scheme over an arbitrary base scheme

Abstract

We define the algebraic fundamental group functor of a reductive group scheme over an arbitrary (non-empty) base scheme and prove that this functor is exact.

17 pages. This is an expanded version of Appendix B in arXiv:1112.6020v1[math.NT]. Final version, to appear in Cent. Eur. J. Math

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