Surface diagrams with at most two triple points

Abdul Mohamad, Tsukasa Yashiro

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper, we prove that if a surface diagram of a surface-knot has at most two triple points and the lower decker set is connected, then the surface-knot group is isomorphic to the infinite cyclic group.

Original languageEnglish
Article number1250013
JournalJournal of Knot Theory and its Ramifications
Volume21
Issue number1
DOIs
Publication statusPublished - Jan 2012

Fingerprint

Triple Point
Diagram
Knot Group
Infinite Groups
Cyclic group
Knot
Isomorphic

Keywords

  • complex
  • surface diagram
  • Surface-knot
  • triple point

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Surface diagrams with at most two triple points. / Mohamad, Abdul; Yashiro, Tsukasa.

In: Journal of Knot Theory and its Ramifications, Vol. 21, No. 1, 1250013, 01.2012.

Research output: Contribution to journalArticle

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