Virtual retractions,conjugacy separability and omnipotence |
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Authors: | Henry Wilton |
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Institution: | Mathematics 253-37, Caltech, Pasadena, CA 91125, United States |
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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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