Geyer and Jarden proved several results for torsion points of elliptic curves defined over the fixed field by finitely many elements in the absolute Galois group of a finitely generated field over the prime field in its algebraic closure. As an analogue of these results, this paper studies torsion points of Drinfeld modules defined over the fixed field by finitely many elements in the absolute Galois group of a finitely generated function field in its algebraic closure. We prove some results which are similar to those of Geyer and Jarden.

中文翻译：

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有限生成函数域的大代数扩展上的Drinfeld模块的扭转点

Geyer和Jarden证明了由固定代数上的有限域上的有限生成域的绝对Galois组中的有限个元素在固定域上定义的椭圆曲线的扭转点的几个结果。作为这些结果的模拟，本文研究了在固定域上由有限生成的函数域的代数闭包中的绝对Galois群中的有限个元素所定义的Drinfeld模的扭转点。我们证明了一些与盖尔（Geyer）和贾登（Jarden）相似的结果。