Cyclic presentations of torus knots with dunwoody parameters

ISSN: 1300-8811
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: Halil İbrahim AKYÜZ

k > 1 ve m. > 0 iken(a, b, c, r) = (k +1, k,m(2k +1)(2 k + 2) + k + l,(2k +1)(2 k + 2 )-k) parametreleri için (3k + 2, m(3k + 2) + 3) tipinden tor düğümlerinin $alpha^{m(3k+2)+3}(gamma^{-1}alpha^{-m(k+1)-1})^2 [alpha^{m(3k+2)+3}(gamma^{-1}alpha^{-m(k+1)-1})^3]^k$ şeklinde farklı bir devirli temsilini elde ettik

Dunwoody parametreleri ile tor düğümleri'nin devirli temsilleri

We obtained a different cyclic presentation of torus knots of type (3k + 2,m(3k + 2) + 3)for Dmwoody pammeters (a,b, c,r) = {k + 1,k,m(2k +1)(2 k + 2) + k +1, (2k + l)(2k + 2 )-k) which is $alpha^{m(3k+2)+3}(gamma^{-1}alpha^{-m(k+1)-1})^2 [alpha^{m(3k+2)+3}(gamma^{-1}alpha^{-m(k+1)-1})^3]^k$ when $kgeq1$ and m>0.

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