Spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method
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 tr...
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/38927/ http://psasir.upm.edu.my/id/eprint/38927/1/38927.pdf |
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| author | Gheisari, Yousof Ahmad, Abd Ghafur Chaharborj, S. Seddigh Sapar, Siti Hasana Mohd Atan, Kamel Ariffin |
| author_facet | Gheisari, Yousof Ahmad, Abd Ghafur Chaharborj, S. Seddigh Sapar, Siti Hasana Mohd Atan, Kamel Ariffin |
| author_sort | Gheisari, Yousof |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T09:43:33Z |
| format | Article |
| id | upm-38927 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:43:33Z |
| publishDate | 2012 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-389272015-09-04T13:14:35Z http://psasir.upm.edu.my/id/eprint/38927/ 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 Mohd Atan, Kamel Ariffin 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. Institute for Mathematical Research, Universiti Putra Malaysia 2012-07 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/38927/1/38927.pdf Gheisari, Yousof and Ahmad, Abd Ghafur and Chaharborj, S. Seddigh and Sapar, Siti Hasana and Mohd Atan, Kamel Ariffin (2012) Spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method. Malaysian Journal of Mathematical Sciences, 6 (2). pp. 213-223. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol6no2/6.%20Yousof%20Gheisariedited.pdf |
| spellingShingle | Gheisari, Yousof Ahmad, Abd Ghafur Chaharborj, S. Seddigh Sapar, Siti Hasana Mohd Atan, Kamel Ariffin Spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method |
| title | Spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method |
| title_full | Spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method |
| title_fullStr | Spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method |
| title_full_unstemmed | Spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method |
| title_short | Spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method |
| title_sort | spanning trees of 2-complexes from diagram groups over the construction of semigroup presentation of integers using lifting method |
| url | http://psasir.upm.edu.my/id/eprint/38927/ http://psasir.upm.edu.my/id/eprint/38927/ http://psasir.upm.edu.my/id/eprint/38927/1/38927.pdf |