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SYMMETRIC AND PERMUTATIONAL GENERATING SET OF THE GROUPS A_(kn+1 AND S(kn+1) USING S_n AND AN ELEMENT OF ORDER k

摘要


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

延伸閱讀