Strongly-cyclic branched coverings of knots via (g, 1)-decompositions
نویسندگان
چکیده
منابع مشابه
STRONGLY-CYCLIC BRANCHED COVERINGS OF KNOTS VIA (g, 1)-DECOMPOSITIONS
Strongly-cyclic branched coverings of knots are studied by using their (g, 1)-decompositions. Necessary and sufficient conditions for the existence and uniqueness of such coverings are obtained. It is also shown that their fundamental groups admit geometric g-words cyclic presentations.
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We study the connections among the mapping class group of the twice punctured torus, the cyclic branched coverings of (1, 1)-knots and the cyclic presentations of groups. We give the necessary and sufficient conditions for the existence and uniqueness of the n-fold stronglycyclic branched coverings of (1, 1)-knots, through the elements of the mapping class group. We prove that every n-fold stro...
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We study the connections among the mapping class group of the twice punctured torus, the cyclic branched coverings of (1, 1)-knots and the cyclic presentations of groups. We give the necessary and sufficient conditions for the existence and uniqueness of the n-fold stronglycyclic branched coverings of (1, 1)-knots, through the elements of the mapping class group. We prove that every n-fold stro...
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ژورنال
عنوان ژورنال: Acta Mathematica Hungarica
سال: 2007
ISSN: 0236-5294,1588-2632
DOI: 10.1007/s10474-007-6029-2