Uncountably many 2-spherical groups of Kac-Moody type of rank 3 over \mathbbF₂

2025/04/24 by Bischof, Sebastian
#20E42 #51E42 #FOS: Mathematics #Group Theory (math.GR) #Primary: 20E06 #Secondary: 20F65

paper · doi:10.48550/arxiv.2504.17513

Abstract

In this paper we show that Weyl-invariant commutator blueprints of type (4, 4, 4) are faithful. As a consequence we answer a question of Tits from the late 1980s about twin buildings. Moreover, we obtain the first example of a 2-spherical Kac-Moody group over a finite field which is not finitely presented.

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