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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access January 17, 2014

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

  • Mikhail Borovoi EMAIL logo and Cristian González-Avilés
From the journal Open Mathematics


We define the algebraic fundamental group π 1(G) of a reductive group scheme G over an arbitrary non-empty base scheme and show that the resulting functor G↦ π1(G) is exact.

MSC: 20G35

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Published Online: 2014-1-17
Published in Print: 2014-4-1

© 2014 Versita Warsaw

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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