厚球形建筑物的中心猜想
The Center Conjecture for thick spherical buildings
摘要：
本文证明了E_6、E_7或E_8型球形建筑物的凸子复形是子建筑物或子复形的自同构在其上固定一点，结合Mühlherr-Tits、Leeb和作者的结果，完成了不含H_4型因子的球形建筑物，特别是厚球形建筑物的Tits中心猜想的证明。
英文摘要：
In this paper we show that a convex subcomplex of a spherical building of type E6, E7 or E8 is a subbuilding or the automorphisms of the subcomplex fix a point on it. Together with previous results of Mühlherr-Tits, and Leeb and the author, this completes the proof of Tits' Center Conjecture for spherical buildings without factors of type H4, in particular, for thick spherical buildings.
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。
