Radu, Nicolas
[UCL]
We build a building of type A2-tilde 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 Kantor in 1986, as well as a question asked by Howie in 1989.
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Bibliographic reference |
Radu, Nicolas. A lattice in a residually non-Desarguesian A2-tilde building. In: Bulletin of the London Mathematical Society, Vol. 49, no. 2, p. 274-290 (2017) |
Permanent URL |
http://hdl.handle.net/2078.1/182442 |