论文标题
$ k^2 $的多项式自动形态的线性和非线性
Linearity and Non-linearity of Groups of Polynomial Automorphisms of $K^2$
论文作者
论文摘要
令$ k $为一个字段，让$ \ aut \，k^2 $为$ k^2 $的多项式自动形态。我们研究哪些亚组是线性的。在特征零中，有小的非线性亚组和一些大型线性亚组。当$ k $具有有限的特征时，每当$ k $是有限的，否则，整个组$ \ aut \，k^2 $是线性的，否则非线性。
Let $K$ be a field, and let $\Aut \,K^2$ be the group of polynomial automorphisms of $K^2$. We investigate which subgroups are linear or not. In characteristic zero, there are small nonlinear subgroups and some big linear subgroups. When $K$ has finite characteristic, the whole group $\Aut\,K^2$ is linear whenever $K$ is finite, and nonlinear otherwise.
