Residual properties of fibered and hyperbolic 3-manifolds

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• 作者：Thomas Koberda ^{thomas.koberda@gmail.com}
• 关键词：primary ; 20E26 ; secondary ; 57N10 ; 57M10
• 刊名：Topology and its Applications
• 出版年：2013
• 出版时间：15 April, 2013
• 年：2013
• 卷：160
• 期：7
• 页码：875-886
• 全文大小：210 K

文摘

We study the residual properties of geometric 3-manifold groups. In particular, we study conditions under which geometric 3-manifold groups are virtually residually p for a prime p, and conditions under which they are residually torsion-free nilpotent. We show that for every prime p, every geometric 3-manifold group is virtually residually p. We show that geometric 3-manifold groups are virtually residually torsion-free nilpotent precisely when they do not arise from Sol geometry.