The efficiency on 2-generators of semi-direct product of groups

A. S. ÇEVİK

doi:https://doi.org/10.1501/Commua1_0000000391

Makale detayları

The efficiency on 2-generators of semi-direct product of groups

Yazarlar:

A. S. ÇEVİK

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 1999 Vol.48, pp.0-0

Belge Tipi:

Makale

Yayın Tarihi:

12/1998

Belge Dili:

İngilizce

Document ID (Org No.):

2000910154

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.1501/Commua1_0000000391

Özet:

 

Let G be a semi-direct product of K by A where K and A are both cyclic groups of order n (n e N) and p (p is a prime), respectively. Then we prove that G has an efficient presentation on the minimal ııumber, that is 2, of generators. After ali, as an application of our main result. we give the efficiency of the dihedral group Dln and the metacylic group of order 2m ( m > 4 and m iseven).

Makale detayları

The efficiency on 2-generators of semi-direct product of groups

Yazarlar: A. S. ÇEVİK

Yayıncı: Ankara University

Ana Başlıklar: Matematik

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 1999 Vol.48, pp.0-0

Belge Tipi: Makale

Yayın Tarihi: 12/1998

Belge Dili: İngilizce

Document ID (Org No.): 2000910154

Sıklık: Üç Aylık

eISSN: 2618-6470

pISSN: 1303-5991

DOI: https://doi.org/10.1501/Commua1_0000000391

Sayı

Yazarlar:

A. S. ÇEVİK

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 1999 Vol.48, pp.0-0

Belge Tipi:

Makale

Yayın Tarihi:

12/1998

Belge Dili:

İngilizce

Document ID (Org No.):

2000910154

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.1501/Commua1_0000000391