标题： Out(Fm) 中当多项式限制为非增长时的共轭问题 显示英文标题

标题： The conjugacy problem in Out(Fm) when the polynomial restrictions are non-growing

摘要： 我们证明，对于其在多项式子群上的限制为有限阶的外自同构类，Out(Fm)中的共轭问题是可以解决的。 为此，我们首先研究由外类为有限阶的自同构所生成的自由群的悬垂结构。 然后，我们将主要结果的简化应用于这类群的某些问题上。 显示英文摘要

摘要： We prove that the conjugacy problem in Out(Fm) is solvable for the class of outer automorphisms whose restrictions to their polynomial subgroups are of finite order. To do this, we first investigate the structure of suspensions of free groups by automorphisms whose outer class is of finite order. We then apply a reduction of our main result to certain problems on groups of this form.