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Groups Complexity Cryptology

Managing Editor: Shpilrain, Vladimir / Weil, Pascal

Editorial Board: Ciobanu, Laura / Conder, Marston / Dehornoy, Patrick / Eick, Bettina / Elder, Murray / Fine, Benjamin / Gilman, Robert / Grigoriev, Dima / Ko, Ki Hyoung / Kreuzer, Martin / Mikhalev, Alexander V. / Myasnikov, Alexei / Perret, Ludovic / Roman'kov, Vitalii / Rosenberger, Gerhard / Sapir, Mark / Thomas, Rick / Tsaban, Boaz / Capell, Enric Ventura

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CiteScore 2017: 0.32

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A note on faithful representations of limit groups

Benjamin Fine / Gerhard Rosenberger
Published Online: 2011-11-21 | DOI: https://doi.org/10.1515/gcc.2011.014


In this note we give a straightforward proof that any hyperbolic limit group has a faithful representation in PSL(2, ℂ).

Keywords.: Hyperbolic group; limit group; faithful representation

About the article

Received: 2010-07-07

Published Online: 2011-11-21

Published in Print: 2011-12-01

Citation Information: Groups – Complexity – Cryptology, Volume 3, Issue 2, Pages 349–355, ISSN (Online) 1869-6104, ISSN (Print) 1867-1144, DOI: https://doi.org/10.1515/gcc.2011.014.

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Benjamin Fine, Anthony Gaglione, Gerhard Rosenberger, and Dennis Spellman
Advances in Pure Mathematics, 2015, Volume 05, Number 04, Page 212

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