Virtual retractions, conjugacy separability and omnipotence

JOURNAL OF ALGEBRA

卷:323

Article

Wilton, Henry

关键词: Fuchsian group;    Conjugacy separability;   

DOI  :  10.1016/j.jalgebra.2009.10.009

来源: Elsevier

【 摘 要 】

We use wreath products to provide criteria for a group to be conjugacy separable or omnipotent. These criteria are in terms of virtual retractions onto cyclic subgroups. We give two applications: a straightforward topological proof of the theorem of Stebe that infinite-order elements of Fuchsian groups (of the first type) are conjugacy distinguished. and a proof that surface groups are Omnipotent. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free