A lattice in a residually non-Desarguesian $\tilde A_2$-building
Group Theory
2020-07-23 v3
Abstract
We build a building of type and a discrete group of automorphisms acting simply transitively on its set of vertices. The characteristic feature of this building is that its rank 2 residues are isomorphic to the Hughes projective plane of order 9, which is non-Desarguesian. This solves a problem asked by W. Kantor in 1986, as well as a question asked by J. Howie in 1989.
Keywords
Cite
@article{arxiv.1602.00588,
title = {A lattice in a residually non-Desarguesian $\tilde A_2$-building},
author = {Nicolas Radu},
journal= {arXiv preprint arXiv:1602.00588},
year = {2020}
}
Comments
20 pages