论文标题
关于两个自由组的直接产物的内态性
On endomorphisms of the direct product of two free groups
论文作者
论文摘要
我们描述了两个有限等级的两个自由组的直接乘积的内态性，并获得了固定点的子组有限生成的条件，并且我们对周期性点进行了相同的作用。我们还描述了此类群体的自动形态，并解决了该班级组的三个白头问题，单态，单态和内态性。当考虑合适的度量时，我们还获得了内态性的条件，并在研究组完成的扩展中进行无限的固定点时均匀连续。
We describe the endomorphisms of the direct product of two free groups of finite rank and obtain conditions for which the subgroup of fixed points is finitely generated and we do the same for periodic points. We also describe the automorphisms of such a group and solve the three Whitehead problems for automorphisms, monomorphisms and endomorphisms for groups in this class. We also obtain conditions for an endomorphism to be uniformly continuous when a suitable metric is considered and study infinite fixed points of the extension to the completion of the group.
