Symmetric Representations of Knot Groups
نویسندگان
چکیده
In this paper we give an explicit and constructive description of the pairs (p. A) of elements in the symmetric group S, which can be realized as the image of the meridian-longitude pair of some knot K in the 3-sphere S3 under a representation xi (S’ K) -t S,,. The result is applied to give an otherwise nonobvious restriction on the numbers of branch curves of a branched covering , of S’, answering a question of R. Fox and K. Perko.
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تاریخ انتشار 2010