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arXiv · 1810.12450

String C-group representations of alternating groups

Maria Elisa Fernandes·Dimitri Leemans
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Abstract

We prove that for any integer $n\geq 12$, and for every $r$ in the interval $[3, \ldots, \lfloor (n-1)/2\rfloor]$, the group $A_n$ has a string C-group representation of rank $r$ therefore showing that the only alternating group whose set of ranks is not an interval is $A_{11}$.

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Maria Elisa Fernandes, Dimitri Leemans. 2018-10-29. String C-group representations of alternating groups. https://arxiv.org/abs/1810.12450

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