Jordan property for non-linear algebraic groups and projective varieties

Sheng Meng; De Qi Zhang

doi:10.1353/ajm.2018.0026

Jordan property for non-linear algebraic groups and projective varieties

Sheng Meng
, De Qi Zhang

National University of Singapore
Department of Mathematics

科研成果: 期刊稿件 › 文章 › 同行评审

35 引用（Scopus）

摘要

A century ago, Camille Jordan proved that the complex general linear group GL_n(ℂ) has the Jordan property: there is a Jordan constant C_n such that every finite subgroup H ≤ GL_n(ℂ) has an abelian subgroup H₁ of index [H: H₁] ≤ C_n. We show that every connected algebraic group G (which is not necessarily linear) has the Jordan property with the Jordan constant depending only on dim G, and that the full automorphism group Aut(X) of every projective variety X has the Jordan property.

源语言	英语
页（从-至）	1133-1145
页数	13
期刊	American Journal of Mathematics
卷	140
期	4
DOI	https://doi.org/10.1353/ajm.2018.0026
出版状态	已出版 - 8月 2018
已对外发布	是

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Jordan property for non-linear algebraic groups and projective varieties

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