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arXiv · 1709.02219

Orthogonal groups in characteristic 2 acting on polytopes of high rank

Peter A. Brooksbank·John T. Ferrara·Dimitri Leemans
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Abstract

We show that for all integers $m\geq 2$, and all integers $k\geq 2$, the orthogonal groups $\Orth^{\pm}(2m,\Fk)$ act on abstract regular polytopes of rank $2m$, and the symplectic groups $\Sp(2m,\Fk)$ act on abstract regular polytopes of rank $2m+1$.

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Peter A. Brooksbank, John T. Ferrara, Dimitri Leemans. 2017-09-07. Orthogonal groups in characteristic 2 acting on polytopes of high rank. https://arxiv.org/abs/1709.02219

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