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arXiv · 0809.2308

Virtual retractions, conjugacy separability and omnipotence

Henry Wilton
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Abstract

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.

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Henry Wilton. 2008-09-13. Virtual retractions, conjugacy separability and omnipotence. https://arxiv.org/abs/0809.2308

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