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arXiv · 1901.01646

The ranks of alternating string C-groups

Mark Mixer
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Abstract

In this paper, string C-groups of all ranks $3 \leq r \leq \frac{n}{2}$ are provided for each alternating group $A_n$, $n \geq 12$. As the string C-group representations of $A_n$ have also been classified for $n \leq 11$, and it is known that larger ranks are impossible, this paper provides the exact values of $n$ for which $A_n$ can be represented as a string C-group of a fixed rank.

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Mark Mixer. 2019-01-07. The ranks of alternating string C-groups. https://arxiv.org/abs/1901.01646

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