Symmetric and permutational generating set of the groups Akn+1 and Skn+1 using Sn and an element of order k
In this paper we will show how to generate Akn+1 and Skn+1 using a copy of Sn and an element of order k in Akn+1 and Skn+1 respectively, for all positive integers n≥2 and all positive integers k≥2. We will also show how to generate Akn+1 and Skn+1 symmetrically using n elements each of order...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171298000696 |
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| _version_ | 1832556135271366656 |
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| author | Ibraham R. Al-Amri |
| author_facet | Ibraham R. Al-Amri |
| author_sort | Ibraham R. Al-Amri |
| collection | DOAJ |
| description | In this paper we will show how to generate Akn+1 and
Skn+1 using a copy of Sn and an element of order k
in Akn+1 and Skn+1 respectively, for all positive integers n≥2
and all positive integers k≥2. We will also show how to generate
Akn+1 and
Skn+1 symmetrically using n
elements each of order k, for all n≥2
and all even integers k≥2. |
| format | Article |
| id | doaj-art-38152ae4c6c146a78fab7bd1bf177b84 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-38152ae4c6c146a78fab7bd1bf177b842025-02-03T05:46:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121348949210.1155/S0161171298000696Symmetric and permutational generating set of the groups Akn+1 and Skn+1 using Sn and an element of order kIbraham R. Al-Amri0Department of Mathematics, King Abdulaziz University, College of Education, P.O.Box 344, Madina, Saudi ArabiaIn this paper we will show how to generate Akn+1 and Skn+1 using a copy of Sn and an element of order k in Akn+1 and Skn+1 respectively, for all positive integers n≥2 and all positive integers k≥2. We will also show how to generate Akn+1 and Skn+1 symmetrically using n elements each of order k, for all n≥2 and all even integers k≥2.http://dx.doi.org/10.1155/S0161171298000696Symmetric generatorsGroup presentationDoubly transitive groups. |
| spellingShingle | Ibraham R. Al-Amri Symmetric and permutational generating set of the groups Akn+1 and Skn+1 using Sn and an element of order k International Journal of Mathematics and Mathematical Sciences Symmetric generators Group presentation Doubly transitive groups. |
| title | Symmetric and permutational generating set of the groups Akn+1 and Skn+1 using Sn and an element of order k |
| title_full | Symmetric and permutational generating set of the groups Akn+1 and Skn+1 using Sn and an element of order k |
| title_fullStr | Symmetric and permutational generating set of the groups Akn+1 and Skn+1 using Sn and an element of order k |
| title_full_unstemmed | Symmetric and permutational generating set of the groups Akn+1 and Skn+1 using Sn and an element of order k |
| title_short | Symmetric and permutational generating set of the groups Akn+1 and Skn+1 using Sn and an element of order k |
| title_sort | symmetric and permutational generating set of the groups akn 1 and skn 1 using sn and an element of order k |
| topic | Symmetric generators Group presentation Doubly transitive groups. |
| url | http://dx.doi.org/10.1155/S0161171298000696 |
| work_keys_str_mv | AT ibrahamralamri symmetricandpermutationalgeneratingsetofthegroupsakn1andskn1usingsnandanelementoforderk |