Research Article
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Year 1999, Volume: 48 , 0 - 0, 01.01.1999
https://doi.org/10.1501/Commua1_0000000391

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  • Communications, Series A1:Mathematics and Statistics

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

Year 1999, Volume: 48 , 0 - 0, 01.01.1999
https://doi.org/10.1501/Commua1_0000000391

Abstract

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).

References

  • Communications, Series A1:Mathematics and Statistics
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

A. S. Çevik This is me

Publication Date January 1, 1999
Submission Date January 1, 1999
Published in Issue Year 1999 Volume: 48

Cite

APA Çevik, A. S. (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. https://doi.org/10.1501/Commua1_0000000391
AMA Çevik AS. The efficiency on 2-generators of semi-direct product of groups. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. January 1999;48. doi:10.1501/Commua1_0000000391
Chicago Çevik, 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, January (January 1999). https://doi.org/10.1501/Commua1_0000000391.
EndNote Çevik AS (January 1, 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
IEEE A. S. Çevik, “The efficiency on 2-generators of semi-direct product of groups”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 48, 1999, doi: 10.1501/Commua1_0000000391.
ISNAD Çevik, 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 (January 1999). https://doi.org/10.1501/Commua1_0000000391.
JAMA Çevik AS. The efficiency on 2-generators of semi-direct product of groups. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1999;48. doi:10.1501/Commua1_0000000391.
MLA Çevik, 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, 1999, doi:10.1501/Commua1_0000000391.
Vancouver Çevik AS. The efficiency on 2-generators of semi-direct product of groups. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1999;48.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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