极限群的忠实表示II

Groups Complex. Cryptol. Pub Date : 1900-01-01 DOI:10.1515/gcc-2013-0005

B. Fine, G. Rosenberger

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引用次数: 4

摘要

摘要在Groups Complex中。Cryptol. 3(2011)， 349-355]证明了任意双曲极限群都可以在。这个证明是建设性的，因为对于给定的极限群，给定一个固定的JSJ分解，就可以构造出这个表示。这个证明依赖于表明某些群体的混合物承认忠实的表述也承认这种忠实的表述。在这个简短的笔记中，我们给出了一个优雅的证明，证明对双曲情况的限制可以去掉。

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Faithful representations of limit groups II

Abstract. In [Groups Complex. Cryptol. 3 (2011), 349–355] we showed that any hyperbolic limit group can be faithfully represented in . The proof was constructive in that given a fixed JSJ decomposition for the given limit group the representation can be constructed. The proof depended on showing that certain amalgams of groups admitting faithful representations into also admit such faithful representations. In this short note we give an elegant proof that the restriction to the hyperbolic case can be removed.

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Groups Complex. Cryptol.

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