A lattice in a residually non-Desarguesian (A)over-tilde(2)-building

作者:Radu Nicolas*
来源:Bulletin of the London Mathematical Society, 2017, 49(2): 274-290.
DOI:10.1112/blms.12022

摘要

We build a building of type (A) over tilde (2) 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.

  • 出版日期2017-4