论文标题

圆圈上纤维纤维

Irreducible lattices fibring over the circle

论文作者

Hughes, Sam

论文摘要

我们研究了不可还原均匀晶格的虚拟纤维。在树木和欧几里得空间的直接产物中,我们表明,给定均匀晶格的虚拟代数纤维等于降低性。另一方面,我们构建了不可约束的晶格,这些晶格接收到整数的地图,其内核有限属性取决于某些BESTVINA - BRADY群体的有限属性。

We investigate the virtual fibrings of irreducible uniform lattices. In the case of a direct product of a tree and a Euclidean space we show that virtual algebraic fibring of a given uniform lattice is equivalent to reducibility. On the other hand we construct irreducible lattices which admit maps to the integers whose kernels finiteness properties are determined by the finiteness properties of certain Bestvina--Brady groups.

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