Companionship and knot group representations

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چکیده

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Companionship and Knot Group Representations

A companionship argument is used to give a constructive geometric proof of a key result concerning the knot homomorph problem: Given elements p and A in a group G, is there a knot K in S3 and a surjective representation p : n,(S3 K) + G, such that p(m) = y and p( [) = A, where m and I are the meridian and longitude of K. The result presented here is that if for some p that normally generates G,...

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ژورنال

عنوان ژورنال: Topology and its Applications

سال: 1987

ISSN: 0166-8641

DOI: 10.1016/0166-8641(87)90080-0