### Abstract

The normal subgroups of a group are important in group theory. The determination of normal subgroups is not usually easy especially when this group is infinite. In this paper, we construct infinitely many normal subgroups of free groups by using the exponent sum for equivalent classes. Furthermore, we will determine subgroups of these normal subgroups.

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

Pages (from-to) | 231-241 |

Number of pages | 11 |

Journal | Far East Journal of Mathematical Sciences |

Volume | 39 |

Issue number | 2 |

Publication status | Published - Apr 2010 |

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### Keywords

- Exponent sum
- Free groups
- Normal subgroups

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Far East Journal of Mathematical Sciences*,

*39*(2), 231-241.

**The construction of normal subgroups of free groups using exponent sum method.** / Zaid, F.; Ahmad, Abd. Ghafur.

Research output: Contribution to journal › Article

*Far East Journal of Mathematical Sciences*, vol. 39, no. 2, pp. 231-241.

}

TY - JOUR

T1 - The construction of normal subgroups of free groups using exponent sum method

AU - Zaid, F.

AU - Ahmad, Abd. Ghafur

PY - 2010/4

Y1 - 2010/4

N2 - The normal subgroups of a group are important in group theory. The determination of normal subgroups is not usually easy especially when this group is infinite. In this paper, we construct infinitely many normal subgroups of free groups by using the exponent sum for equivalent classes. Furthermore, we will determine subgroups of these normal subgroups.

AB - The normal subgroups of a group are important in group theory. The determination of normal subgroups is not usually easy especially when this group is infinite. In this paper, we construct infinitely many normal subgroups of free groups by using the exponent sum for equivalent classes. Furthermore, we will determine subgroups of these normal subgroups.

KW - Exponent sum

KW - Free groups

KW - Normal subgroups

UR - http://www.scopus.com/inward/record.url?scp=77952409054&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77952409054&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:77952409054

VL - 39

SP - 231

EP - 241

JO - Far East Journal of Mathematical Sciences

JF - Far East Journal of Mathematical Sciences

SN - 0972-0871

IS - 2

ER -