On the Invariants of Root Subgroups of Finite Classical Groups

• Date: 2013
• Main Authors: Nan, Jizhu, Qin, Yufang, Нан, Чжу, Кін, Юфанг
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2542
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...