关于双曲群的同调性的注解

Groups Complex. Cryptol. Pub Date : 1900-01-01 DOI:10.1515/gcc.2010.012

Matthias Neumann-Brosig, G. Rosenberger

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引用次数: 1

摘要

摘要双曲群在数学的各个领域得到了广泛的研究。它们出现在各种各样的背景下，如几何群论、函数理论(如Fuchsian群)和代数拓扑(如紧双曲曲面的基本群)。双曲群具有非常适合研究同调有限条件的几何性质。在本文中，我们将通过从rip -complex中获得的自由分辨率来证明其中的一些结果。

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A note on the homology of hyperbolic groups

Abstract Hyperbolic groups have been studied in various fields in mathematics. They appear in contexts as diverse as geometric group theory, function theory (as Fuchsian groups) and algebraic topology (as fundamental groups of compact hyperbolic surfaces). Hyperbolic groups possess geometrical properties well suited for the study of homological finiteness conditions. In this paper we will prove some of these results via free resolutions obtained from the Rips-complex.

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Groups Complex. Cryptol.

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