Conjugacy separability of the groups of hose knots
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- by Peter F. Stebe PDF
- Trans. Amer. Math. Soc. 159 (1971), 79-90 Request permission
Abstract:
Let $G$ be a group. An element $g$ of $G$ is c.d. in $G$ if and only if, given any element $h$ of $G$, either $h$ is conjugate to $g$ or there is a homomorphism $\xi$ from $G$ onto a finite group such that $\xi (g)$ is not conjugate to $\xi (h)$. Following A. Mostowski, a group is conjugacy separable or c.s. if and only if every element of the group is c.d. In this paper we show that the groups of hose knots are c.s.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 159 (1971), 79-90
- MSC: Primary 20.10
- DOI: https://doi.org/10.1090/S0002-9947-1971-0285590-0
- MathSciNet review: 0285590