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A note on doubles of groups

Group Theory 2007-06-13 v1 Geometric Topology

Abstract

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.

Cite

@article{arxiv.math/9809137,
  title  = {A note on doubles of groups},
  author = {Nadia Benakli and Oliver T. Dasbach and Yair Glasner and Brian Mangum},
  journal= {arXiv preprint arXiv:math/9809137},
  year   = {2007}
}

Comments

5 pages, 1 figure