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arXiv · 1802.06213

Generating alternating and symmetric groups with two elements of fixed order

Daniele Garzoni
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Abstract

We answer a question raised by Lanier about the possibility of generating $A_n$ and $S_n$ with two elements of order $k$, where $n \geqslant k \geqslant 3$. We show that this can always be done apart from some clear exceptions.

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Daniele Garzoni. 2018-02-17. Generating alternating and symmetric groups with two elements of fixed order. https://arxiv.org/abs/1802.06213

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