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arXiv · 1609.02988

Group schemes of square free order

V. Kumar Murty·Ying Zong
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Abstract

Every finite flat finitely presented group scheme G of square free order over a scheme S can be written as an extension of a finite etale S-group scheme G" by a commutative finite flat finitely presented S-group scheme G' that is a direct sum of group schemes of prime order. Such an extension splits over a finite etale surjective base change.

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V. Kumar Murty, Ying Zong. 2016-09-10. Group schemes of square free order. https://arxiv.org/abs/1609.02988

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