English  |  正體中文  |  简体中文  |  全文笔数/总笔数 : 58335/91896 (63%)
造访人次 : 2393      在线人数 : 107
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library & TKU Library IR team.
搜寻范围 查询小技巧:
  • 您可在西文检索词汇前后加上"双引号",以获取较精准的检索结果
  • 若欲以作者姓名搜寻,建议至进阶搜寻限定作者字段,可获得较完整数据
  • 进阶搜寻

    jsp.display-item.identifier=請使用永久網址來引用或連結此文件: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41693

    题名: Noether's problem for dihedral 2-groups
    作者: Chu, Huah;Hu, Shou-jen;Kang, Ming-chang
    贡献者: 淡江大學數學學系
    关键词: Rationality;Noether's problem;generic Galois extension;generic polynomials;dihedral groups
    日期: 2004-01
    上传时间: 2010-01-28
    出版者: Zurich: European Mathematical Society
    摘要: Let K be any field and G be a finite group. Let G act on the rational function field K(xg:g∈G) by K-automorphisms defined by g⋅xh=xgh for any g,h∈G. Denote by K(G) the fixed field K(xg:g∈G)G. Noethers problem asks whether K(G) is rational (= purely transcendental) over K. We shall prove that K(G) is rational over K if G is the dihedral group (resp. quasi-dihedral group, modular group) of order 16. Our result will imply the existence of the generic Galois extension and the existence of the generic polynomial of the corresponding group.
    關聯: Commentarii Mathematici Helvetici 79(1), pp.147-159
    DOI: 10.1007/s00014-003-0783-8
    显示于类别:[數學學系暨研究所] 期刊論文


    档案 描述 大小格式浏览次数
    Noether's problem for dihedral 2-groups.pdf172KbAdobe PDF0检视/开启



    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library & TKU Library IR teams. Copyright ©   - 回馈