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Group schemes of square free order

Published 10 Sep 2016 in math.AG | (1609.02988v2)

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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