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Let $n\geq 5$ be odd, What is a presentation of $A_n$ with generators $a_n=(123),b_n=(1,2,\ldots,n)$?

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    You need to distinguish between $n$ being odd and $n$ being even cases. In particular, $b_n=(1,2,\dots,n)$ for odd $n$ is even, and $c_n=(2,3,\dots,n)$ for even $n$ is even (how odd). Otherwise, this appears to be a difficult question: what is your motivation for asking?2012-03-21
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    Sorry i was thinking this for odd $n$.2012-03-22

2 Answers 2