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arXiv:1505.03248 [math.RT]AbstractReferencesReviewsResources

On 3 and 4 dimensional regular solids, Part 1: The 4-simplex generates the free group

Adrian Ocneanu

Published 2015-05-13Version 1

We show that, when the vertices $q_i, i=0,...,4$ of the 4 simplex, or 5-cell, viewed as unit quaternions, are arranged so that $q_0=1$, the remaining 4 vertices generate the free group with 4 generators $\mathbb F_4$.

Categories: math.RT, math.GR
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