论文标题
关于自由循环和缺陷1组的亚组可分离性
On subgroup separability of free-by-cyclic and deficiency 1 groups
论文作者
论文摘要
我们表明，当它几乎是$ f_n \ times \ mathbb {z} $时，具有多项式生长的单型单体的自由循环群可以分离。我们还证明，随机缺陷1组不可分离，渐近概率为阳性。
We show that a free-by-cyclic group with a polynomially growing monodromy is subgroup separable exactly when it is virtually $F_n \times \mathbb{Z}$. We also prove that random deficiency 1 groups are not subgroup separable with positive asymptotic probability.
