Spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method

Yousof Gheisari, Abd. Ghafur Ahmad, S. Seddigh Chaharborj, Siti Hasana Sapar, Kamel Ariffin Mohd Atan

Research output: Contribution to journalArticle

Abstract

For any given semigroup presentation we may obtain the fundamental group. In this paper we will determine spanning trees for the 2-complexes of the fundamental groups obtained from the union of two semigroup presentations with finite different initial generators using lifting method. The spanning trees will be systematically selected by using lifting method according to the length of words. Also the general formula for all lifts of spanning trees and the number of edges in the spanning trees will be computed.

Original languageEnglish
Pages (from-to)213-223
Number of pages11
JournalMalaysian Journal of Mathematical Sciences
Volume6
Issue number2
Publication statusPublished - Jul 2012

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Spanning tree
Diagram
Semigroup
Integer
Fundamental Group
Union
Generator
Presentation

Keywords

  • Fundamental group
  • Generators
  • Semigroup presentation
  • Spanning tree

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method. / Gheisari, Yousof; Ahmad, Abd. Ghafur; Chaharborj, S. Seddigh; Sapar, Siti Hasana; Atan, Kamel Ariffin Mohd.

In: Malaysian Journal of Mathematical Sciences, Vol. 6, No. 2, 07.2012, p. 213-223.

Research output: Contribution to journalArticle

Gheisari, Yousof ; Ahmad, Abd. Ghafur ; Chaharborj, S. Seddigh ; Sapar, Siti Hasana ; Atan, Kamel Ariffin Mohd. / Spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method. In: Malaysian Journal of Mathematical Sciences. 2012 ; Vol. 6, No. 2. pp. 213-223.
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