A note on doubles of groups

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Recently, Rips produced an example of a double of two free groups which has unsolvable generalized word problem. In this paper, we show that Rips's example fits into a large class of doubles of groups, each member of which contains F_2 x F_2 and therefore has unsolvable generalized word problem and is incoherent.
5 pages, 1 figure

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Group Theory, Geometric Topology, 20Exx

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http://salesiana.dossiersoluciones.com/handle/123456789/131418

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9809137
 http://arxiv.org/abs/math/9809137
 J. Pure Appl. Algebra 156 (2001), no. 2-3, 147--151

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arXiv