Yıl: 1999 Cilt: 48 Sayı: 1-2 Sayfa Aralığı: 7 - 13 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

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

Öz:
Let G be a semi-direct product of K by A where K and A are both cyclic groups of order $n (nvarepsilon N)$ and p (p is a prime), respectively. Then we prove that G has an efficient presentation on the minimal number, that is 2, of generators. After all, as an application of our main result, we give the efficiency of the dihedral group $D_m$ and the metacylic group of order 2m ( m$geq$ 4 and m is even).
Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık
Belge Türü: Makale Makale Türü: Diğer Erişim Türü: Erişime Açık
APA ÇEVİK A (1999). The efficiency on 2-generators of semi-direct product of groups. , 7 - 13.
Chicago ÇEVİK A. S. The efficiency on 2-generators of semi-direct product of groups. (1999): 7 - 13.
MLA ÇEVİK A. S. The efficiency on 2-generators of semi-direct product of groups. , 1999, ss.7 - 13.
AMA ÇEVİK A The efficiency on 2-generators of semi-direct product of groups. . 1999; 7 - 13.
Vancouver ÇEVİK A The efficiency on 2-generators of semi-direct product of groups. . 1999; 7 - 13.
IEEE ÇEVİK A "The efficiency on 2-generators of semi-direct product of groups." , ss.7 - 13, 1999.
ISNAD ÇEVİK, A. S.. "The efficiency on 2-generators of semi-direct product of groups". (1999), 7-13.
APA ÇEVİK A (1999). The efficiency on 2-generators of semi-direct product of groups. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 48(1-2), 7 - 13.
Chicago ÇEVİK A. S. The efficiency on 2-generators of semi-direct product of groups. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 48, no.1-2 (1999): 7 - 13.
MLA ÇEVİK A. S. The efficiency on 2-generators of semi-direct product of groups. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.48, no.1-2, 1999, ss.7 - 13.
AMA ÇEVİK A The efficiency on 2-generators of semi-direct product of groups. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 1999; 48(1-2): 7 - 13.
Vancouver ÇEVİK A The efficiency on 2-generators of semi-direct product of groups. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 1999; 48(1-2): 7 - 13.
IEEE ÇEVİK A "The efficiency on 2-generators of semi-direct product of groups." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 48, ss.7 - 13, 1999.
ISNAD ÇEVİK, A. S.. "The efficiency on 2-generators of semi-direct product of groups". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 48/1-2 (1999), 7-13.