Symmetric and permutational generating set of the groups A k n + 1 and S k n + 1 using S n and an element of order k

Ibraham R. Al-Amri

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-4

Abstract:

In this paper we will show how to generate A k n + 1 and S k n + 1 using a copy of S n and an element of order k in A k n + 1 and S k n + 1 respectively, for all positive integers n ≥ 2 and all positive integers k ≥ 2 . We will also show how to generate A k n + 1 and S k n + 1 symmetrically using n elements each of order k , for all n ≥ 2 and all even integers k ≥ 2 .

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:265079

DOI: 10.1155/S0161171298000696

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