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Ukrainian Mathematical Journal

, Volume 65, Issue 12, pp 1809–1821 | Cite as

On the Invariants of Root Subgroups of Finite Classical Groups

  • Jizhu Nan
  • Yufang Qin
Article
  • 35 Downloads

We show that the invariant fields F q (X 1 , . . . ,X n ) G are purely transcendental over F q if G are root subgroups of finite classical groups. The key step is to find good similar groups of our groups. Moreover, the invariant rings of the root subgroups of special linear groups are shown to be polynomial rings and their corresponding Poincaré series are presented.

Keywords

Normal Form Classical Group Unitary Group Galois Group Polynomial Ring 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Jizhu Nan
    • 1
  • Yufang Qin
    • 1
  1. 1.Dalian University of TechnologyDalianChina

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