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arXiv · 2105.01921

Unravelled Abstract Regular Polytopes

Robert Nicolaides·Peter Rowley
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Abstract

This paper introduces the notion of an unravelled abstract regular polytope, and proves that $\SL_3(q) \rtimes $, where $t$ is the transpose inverse automorphism of $\SL_3(q)$, possesses such polytopes for various congruences of $q$. A large number of small examples of such polytopes are given, along with extensive details of their various properties.

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Robert Nicolaides, Peter Rowley. 2021-05-05. Unravelled Abstract Regular Polytopes. https://arxiv.org/abs/2105.01921

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