论文标题
关于Artin-tits组的抛物线亚组
On parabolic subgroups of Artin-Tits groups
论文作者
论文摘要
抽象的。我们提出的猜想指出，Artin-tits组的抛物线亚组的相交是抛物线亚组。我们证明，猜想等于A，先验，较弱的猜想。在特定情况下，我们还证明了猜想。在此过程中，我们提供了几种经典结果的Artin-tits组的简短而几乎是自我的代数证明，例如标准抛物线亚组的交集中的范德莱克（Van der Lek）。
Abstract. We address the conjecture which states that an intersection of parabolic subgroups of an Artin-Tits group is a parabolic subgroup. We prove that the conjecture is equivalent to a, a priori, weaker conjecture. We also prove the conjecture in a specific case. Along the way, we provide short and almost self-contain algebraical proofs of several classical results on Artin-Tits groups, such as those of Van der Lek on intersection of standard parabolic subgroups.
