论文标题
双曲线概括三角形组，属性（T）和有限的简单商
Hyperbolic generalized triangle groups, property (T) and finite simple quotients
论文作者
论文摘要
我们构建了享有Kazhdan财产（T）的无限双曲线群体的几个明确演讲。其中一些比以前已知的最短示例要短得多。此外，我们表明，其中一些Bolic Kazhdan群体具有有限的简单商组，任意较大。它们构成了结合这些特性的第一个已知标本。我们认为的所有双曲基团是非阳性弯曲的k折三角形基团，即对CAT（0）三角形复合物具有简单作用的组，该组在一组三角形上是透明的，因此边缘固定器是循环k的。
We construct several series of explicit presentations of infinite hyperbolic groups enjoying Kazhdan's property (T). Some of them are significantly shorter than the previously known shortest examples. Moreover, we show that some of those hyperbolic Kazhdan groups possess finite simple quotient groups of arbitrarily large rank; they constitute the first known specimens combining those properties. All the hyperbolic groups we consider are non-positively curved k-fold generalized triangle groups, i.e. groups that possess a simplicial action on a CAT(0) triangle complex, which is sharply transitive on the set of triangles, and such that edge-stabilizers are cyclic of order k.
