有限群格式的扩张与扭转

IF 0.8 4区数学 Q2 MATHEMATICS

Expositiones Mathematicae Pub Date : 2023-09-01 DOI:10.1016/j.exmath.2023.02.004

Peter Bruin

引用次数: 1

摘要

给出了一组阿贝尔群对群方案的中心扩展范畴的显式描述。在此基础上，我们描述了有限局部自由交换群方案的中心扩展计算框架、该群方案下的环量以及这些对象的同构类群。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Extensions and torsors for finite group schemes

We give an explicit description of the category of central extensions of a group scheme by a sheaf of Abelian groups. Based on this, we describe a framework for computing with central extensions of finite locally free commutative group schemes, torsors under such group schemes and groups of isomorphism classes of these objects.

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来源期刊

Expositiones Mathematicae 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

40 days

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