### Abstract

For any given diagram group we have a graph. The aim of this paper is to determine all subgroups of diagram group from semigroup presentation P=<a,b:a=b>, to investigate how the diagram group change if we change the subgroup without changing the semigroup presentation.

Original language | English |
---|---|

Pages (from-to) | 163-171 |

Number of pages | 9 |

Journal | Global Journal of Pure and Applied Mathematics |

Volume | 7 |

Issue number | 2 |

Publication status | Published - 2011 |

### Fingerprint

### Keywords

- Covering space
- Diagram group
- Mapping of graphs
- Semigroup
- Semigroup presentation

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

**Covering graph for diagram subgroups of two generators of semigroup presentation for words of length three.** / Alaswad, Kalthom Mahmood; Ahmad, Abd. Ghafur.

Research output: Contribution to journal › Article

*Global Journal of Pure and Applied Mathematics*, vol. 7, no. 2, pp. 163-171.

}

TY - JOUR

T1 - Covering graph for diagram subgroups of two generators of semigroup presentation for words of length three

AU - Alaswad, Kalthom Mahmood

AU - Ahmad, Abd. Ghafur

PY - 2011

Y1 - 2011

N2 - For any given diagram group we have a graph. The aim of this paper is to determine all subgroups of diagram group from semigroup presentation P=, to investigate how the diagram group change if we change the subgroup without changing the semigroup presentation.

AB - For any given diagram group we have a graph. The aim of this paper is to determine all subgroups of diagram group from semigroup presentation P=, to investigate how the diagram group change if we change the subgroup without changing the semigroup presentation.

KW - Covering space

KW - Diagram group

KW - Mapping of graphs

KW - Semigroup

KW - Semigroup presentation

UR - http://www.scopus.com/inward/record.url?scp=84868673269&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84868673269&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84868673269

VL - 7

SP - 163

EP - 171

JO - Global Journal of Pure and Applied Mathematics

JF - Global Journal of Pure and Applied Mathematics

SN - 0973-1768

IS - 2

ER -