THE KNOT $5_2$ AND CYCLICALLY PRESENTED GROUPS

The cyclically presented groups which arise as fundamental groups of cyclic branched coverings of the knot $5_2$ are studied. The fundamental polyhedra for these groups are described. Moreover the cyclic covering manifolds are obtained in terms of Dehn surgery and as two-fold branched coverings of t...

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Bibliographic Details
Published inJournal of the Korean Mathematical Society Vol. 35; no. 4; pp. 961 - 980
Main Authors Kim, Goan-Su, Kim, Yang-Kok, Vesnin, Andrei
Format Journal Article
LanguageKorean
Published 1998
Subjects
branched covering
5_2$ knot
cyclically presented groups
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Summary:The cyclically presented groups which arise as fundamental groups of cyclic branched coverings of the knot $5_2$ are studied. The fundamental polyhedra for these groups are described. Moreover the cyclic covering manifolds are obtained in terms of Dehn surgery and as two-fold branched coverings of the 3-sphere.
Bibliography:KISTI1.1003/JNL.JAKO199811922261054
ISSN:0304-9914