Limit groups are subgroup conjugacy separable

作者：Chagas Sheila C^*; Zalesskii Pavel A

来源：Journal of Algebra, 2016, 461: 121-128.

DOI：10.1016/j.jalgebra.2016.04.026

• Limit group
• Subgroup conjugacy separability
• Profinite completion

A group G is called subgroup conjugacy separable if for every pair of non-conjugate finitely generated subgroups of G, there exists a finite quotient of G where the images of these subgroups are not conjugate. We prove that limit groups are subgroup conjugacy separable. We also prove this property for one relator groups of the form R = < a(1), ..., a(n)vertical bar W-n > with n > vertical bar W vertical bar. The property is also proved for infinite virtual retracts (equivalently for infinite quasiconvex subgroups) of hyperbolic virtually special groups.

• 出版日期2016-9-1