Please use this identifier to cite or link to this item:
https://doi.org/10.1353/ajm.2018.0026
Title: | JORDAN PROPERTY FOR NON-LINEAR ALGEBRAIC GROUPS AND PROJECTIVE VARIETIES | Authors: | Meng, Sheng Zhang, De-Qi |
Keywords: | Science & Technology Physical Sciences Mathematics SUBGROUPS |
Issue Date: | 1-Aug-2018 | Publisher: | JOHNS HOPKINS UNIV PRESS | Citation: | Meng, Sheng, Zhang, De-Qi (2018-08-01). JORDAN PROPERTY FOR NON-LINEAR ALGEBRAIC GROUPS AND PROJECTIVE VARIETIES. AMERICAN JOURNAL OF MATHEMATICS 140 (4) : 1133-1145. ScholarBank@NUS Repository. https://doi.org/10.1353/ajm.2018.0026 | Abstract: | A century ago, Camille Jordan proved that the complex general linear group GLn(ℂ) has the Jordan property: there is a Jordan constant Cn such that every finite subgroup H ≤ GLn(ℂ) has an abelian subgroup H1 of index [H: H1] ≤ Cn. 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. | Source Title: | AMERICAN JOURNAL OF MATHEMATICS | URI: | https://scholarbank.nus.edu.sg/handle/10635/234655 | ISSN: | 0002-9327 1080-6377 |
DOI: | 10.1353/ajm.2018.0026 |
Appears in Collections: | Staff Publications Elements |
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