剩余非Desklessian $\tilde A_2$ -建筑中的格
A lattice in a residually non-Desarguesian $\tilde A_2$-building
摘要：
我们建立了一个$\tilde A_2$类型的建筑物和一个离散的自同构自同构群作用于其顶点集上的简单传递。这个建筑物的特点是，它的秩2剩余同构的休斯射影平面的9阶，这是非Desklesian。这解决了W. Kantor在1986年提出的问题，以及J. Howie在1989年提出的问题。
英文摘要：
We build a building of type $\tilde A_2$ 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 W. Kantor in 1986, as well as a question asked by J. Howie in 1989.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
