Let k be an algebraically closed field, G a linear algebraic group over k and φ ∈ Aut(G), the group of all algebraic group automorphisms of G. Two elements x; y of G are said to be φ-twisted conjugate if y = gxφ(g)^–1 for some g ∈ G. In this paper we prove that for a connected non-solvable linear algebraic group G over k, the number of its φ-twisted conjugacy classes is infinite for every φ ∈ Aut(G).

中文翻译：

---

线性代数群中的扭曲共轭

令k为代数封闭场，G为k和φ∈Aut（G）上的线性代数群，G为所有代数群同胚的群。两个元素x ; ÿ的ģ被说成是φ-扭共轭如果Ŷ = GX φ（克）^-1一些克∈ ģ。在本文中，我们证明了对一个连接的非线性解代数群G ^超过ķ，其φ捻共轭类的数目是无限的每φ∈AUT（ģ）。