Uniform boundedness of torsion subgroups of linear groups
文献类型：期刊论文
| 作者 | Sun, Bin Yong
|
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2008-02-01 |
| 卷号 | 24期号:2页码:305-310 |
| 关键词 | linear algebraic group finite subgroup torsion conjecture torsion subgroup |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-007-1016-7 |
| 英文摘要 | The torsion conjecture says: for any abelian variety A defined over a number field k, the order of the torsion subgroup of A(k) is bounded by a constant C(k,d) which depends only on the number field k and the dimension d of the abelian variety. The torsion conjecture remains open in general. However, in this paper, a short argument shows that the conjecture is true for more general fields if we consider linear groups instead of abelian varieties. If G is a connected linear algebraic group defined over a field k which is finitely generated over Q, F is a torsion subgroup of G(k). Then the order of F is bounded by a constant C'(k, d) which depends only on k and the dimension d of G. |
| 语种 | 英语 |
| WOS记录号 | WOS:000254579200012 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5733]  |
| 专题 | 数学所 |
| 通讯作者 | Sun, Bin Yong |
| 作者单位 | Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Sun, Bin Yong. Uniform boundedness of torsion subgroups of linear groups[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2008,24(2):305-310. |
| APA | Sun, Bin Yong.(2008).Uniform boundedness of torsion subgroups of linear groups.ACTA MATHEMATICA SINICA-ENGLISH SERIES,24(2),305-310. |
| MLA | Sun, Bin Yong."Uniform boundedness of torsion subgroups of linear groups".ACTA MATHEMATICA SINICA-ENGLISH SERIES 24.2(2008):305-310. |
入库方式： OAI收割
来源：数学与系统科学研究院
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