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OALib Journal期刊
ISSN: 2333-9721
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Grupos de nudos con dos generadores

Keywords: knot group, group presentation, hyperbolic groups, tunnel one knots, palindrome, bridges..

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Abstract:

abstract.we study knot groups that admit a presentation with two generators and one relation. we say that a presentation is palindromic if r is a palindrome, that is, if r is a word that reads the same forwards and backwards. we study conditions that allow us to change the given presentation to obtain a palindromic presentation. we prove that if the knot group g admits a faithful discrete sl(2,?)-representation then g admits a palindromic presentation.

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