论文标题
自由群体线性增长自动化的中心者
Centralisers of linear growth automorphisms of free groups
论文作者
论文摘要
在本说明中，我们调查了$ \ mathrm {out}（f_n）$的线性增长元素的中心人（即Dehn Twist自动形态的根），并证明它具有有限的索引子组映射到某些“ Equivariant McCool groupp”的直接产品，“与Kernel一起生成了有限的自由碱基组。特别是，这使我们能够证明它是VF，因此有限地提出。
In this note we investigate the centraliser of a linearly growing element of $\mathrm{Out}(F_n)$ (that is, a root of a Dehn twist automorphism), and show that it has a finite index subgroup mapping onto a direct product of certain "equivariant McCool groups" with kernel a finitely generated free abelian group. In particular, this allows us to show it is VF and hence finitely presented.
