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Finiteness properties for subgroups of GL $(n,\mathbb Z)$

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Abstract. We construct finitely presented subgroups of GL\((n,{\mathbb Z})\) that have infinitely many conjugacy classes of finite subgroups. This answers a question of Grunewald and Platonov. We suggest a variation on their question.

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Received: 26 August 1999 / Revised: 28 September 1999 / Published online: 8 May 2000

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Bridson, M. Finiteness properties for subgroups of GL $(n,\mathbb Z)$. Math Ann 317, 629–633 (2000). https://doi.org/10.1007/PL00004417

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  • DOI: https://doi.org/10.1007/PL00004417

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