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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| Main Author: | |
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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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |