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Essential dimensions of finite groups

代数几何 2007-05-23 v2 群论

摘要

We study the essential dimension of a finite group G over a field K. A generalization of the central extension theorem of Buhler and Reichstein (Compositio Math. 106 (1997) 159-179, Theorem 5.3) is obtained. We also get lower bounds of essential dimension of symmetric groups and alternating groups over field of any characteristic.

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引用

@article{arxiv.math/0611673,
  title  = {Essential dimensions of finite groups},
  author = {Ming-chang Kang},
  journal= {arXiv preprint arXiv:math/0611673},
  year   = {2007}
}

备注

24 pages