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DUNWOODY PARAMETRELER İ İLE TOR DÜĞÜMLERİ'NİN DEVİRLİ TEMSİLLERİ

CYCLIC PRESENTATIONS OF TORUS KNOTS WITH DUNWOODY PARAMETERS

Journal Name:

  • Kastamonu Üniversitesi Kastamonu Eğitim Dergisi

Publication Year:

  • 2010

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
We obtained a different cyclic presentation of torus knots of type (3k + 2, m(3k + 2) + 3) for Dunwoody parameters (a, b, c, r) = (k + 1, k, m(2k + 1)(2k + 2) + k + 1,(2k + 1)(2k + 2) - k) which is m(3k+2)+3/ -1 -m(k+1)-1\2r m(3k+2)+3 / -1 -m(k+1)-1\3nk , 7^11 A a (ya )[a (ya )] when k > 1 and m > 0 .
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Abstract (Original Language): 
k > 1 ve m > 0 iken (a,b,c,r) = (k + 1,k,m(2k + 1)(2k + 2) + k + 1,(2k + 1)(2k + 2) - k) Dunwoody parametreleri için (3k + 2, m(3k + 2) + 3) tipinden tor düğümlerinin am(3k+2)+3(r-1a-m(k+1)-1)2[am(3k+2)+3(r-1«-m( k+1H)3]k şeklinde farklı bir devirli temsilini elde ettik
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  • 1
61-66
  • English

REFERENCES

References: 

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Graselli L., Mulazzani, M., Genus one 1- bridge knots and Dunwoody manifods. Forum Math., 13, 379-397, 2001
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Johnson , D.L., Topics in the theory of Groups Presentations, Cambridge Univ. Pres Camdridge London Math. Soc. Lecture Note Ser.:42,1980.
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Neuwirth, L.P., An Algorithm for the Construction of 3-Manifolds from 2 Complexes, Proc. Camb. Phil.Soc. 64, 603-613, 1968.

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