Group schemes of square free order

2016/09/10 by V. Kumar Murty, Murty, V. Kumar, Ying Zong +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematics and Applications #math.AG

paper · pdf · doi:10.48550/arxiv.1609.02988

openalex publication_date 2016/09/10 · arxiv created 2021/07/26 · arxiv updated 2021/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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