CYCLIC PRESENTATIONS AND TORUS KNOTS K(d, 2)

Cilt: 4 Sayı: 2 12 Mart 2014
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CYCLIC PRESENTATIONS AND TORUS KNOTS K(d, 2)

Öz

In this paper, we have shown that the polynomials associated with the cyclically presented groups obtained from the word w generated with Dunwoody parameters 1 1 1 3 2 2 2 2 (1, ,0, 2),(1, k k,0, k),( k ,1,0, k ),( k ,1,0, k ) , where k is an odd positive integer and d  k  2 , coincide (up to sign)
with the Alexander polynomial of the torus knot K(d,2) .

Anahtar Kelimeler

Kaynakça

  1. Ankaralioglu, N., Aydin, H. 2008. Some Dunwoody parameters and cyclic presentations. General Mathematics, 16(2), 85–93.
  2. Aydin, H., Gultekin, I. and Mulazzani, M. 2003. Torus Knots and Dunwoody Manifolds. Siberian Math. J., 45, 1-6.
  3. Burde, G., Zieschang, H. 1985. Knots, Berlin, New York, Walter de Gruyter.
  4. Cattabriga, A., Mulazzani, M. 2005. Representations of (1,1)-knots, Fundamenta Mathematicae., 188, 45-57.
  5. Cavicchioli, A., Hegenbarth, F., Kim, A.C. 1999. On Cyclic Branched Covering of Torus Knots. J. Geom., 64, 55-66.
  6. Cavicchioli, A., Ruini, B., Spaggiari,F. 2001. On a Conjecture of M. J. Dunwoody. Algebra colloq., 8, 169-218.
  7. Dunwoody, M. J. Cyclic Presentations and 3-Manifolds. In Proc. Inter Conf., Groups Korea’94, Walter De Gruyter, 47-55, 1995, Berlin, New York.
  8. Graselli, L., Mulazzani, M. 2001. Genus one 1-bridge knots and Dunwoody manifolds. Forum Math. 13, 379–397.

Ayrıntılar

Birincil Dil

Türkçe

Konular

-

Bölüm

-

Yayımlanma Tarihi

12 Mart 2014

Gönderilme Tarihi

12 Mart 2014

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2011 Cilt: 4 Sayı: 2

Kaynak Göster

APA
Ankaralıoğlu, N., & Aydın, H. (2014). CYCLIC PRESENTATIONS AND TORUS KNOTS K(d, 2). Erzincan University Journal of Science and Technology, 4(2), 125-133. https://izlik.org/JA79GA63UM
AMA
1.Ankaralıoğlu N, Aydın H. CYCLIC PRESENTATIONS AND TORUS KNOTS K(d, 2). Erzincan University Journal of Science and Technology. 2014;4(2):125-133. https://izlik.org/JA79GA63UM
Chicago
Ankaralıoğlu, Nurullah, ve Hüseyin Aydın. 2014. “CYCLIC PRESENTATIONS AND TORUS KNOTS K(d, 2)”. Erzincan University Journal of Science and Technology 4 (2): 125-33. https://izlik.org/JA79GA63UM.
EndNote
Ankaralıoğlu N, Aydın H (01 Mart 2014) CYCLIC PRESENTATIONS AND TORUS KNOTS K(d, 2). Erzincan University Journal of Science and Technology 4 2 125–133.
IEEE
[1]N. Ankaralıoğlu ve H. Aydın, “CYCLIC PRESENTATIONS AND TORUS KNOTS K(d, 2)”, Erzincan University Journal of Science and Technology, c. 4, sy 2, ss. 125–133, Mar. 2014, [çevrimiçi]. Erişim adresi: https://izlik.org/JA79GA63UM
ISNAD
Ankaralıoğlu, Nurullah - Aydın, Hüseyin. “CYCLIC PRESENTATIONS AND TORUS KNOTS K(d, 2)”. Erzincan University Journal of Science and Technology 4/2 (01 Mart 2014): 125-133. https://izlik.org/JA79GA63UM.
JAMA
1.Ankaralıoğlu N, Aydın H. CYCLIC PRESENTATIONS AND TORUS KNOTS K(d, 2). Erzincan University Journal of Science and Technology. 2014;4:125–133.
MLA
Ankaralıoğlu, Nurullah, ve Hüseyin Aydın. “CYCLIC PRESENTATIONS AND TORUS KNOTS K(d, 2)”. Erzincan University Journal of Science and Technology, c. 4, sy 2, Mart 2014, ss. 125-33, https://izlik.org/JA79GA63UM.
Vancouver
1.Nurullah Ankaralıoğlu, Hüseyin Aydın. CYCLIC PRESENTATIONS AND TORUS KNOTS K(d, 2). Erzincan University Journal of Science and Technology [Internet]. 01 Mart 2014;4(2):125-33. Erişim adresi: https://izlik.org/JA79GA63UM