A note on doubles of groups
Nadia Benakli, Oliver T. Dasbach, Yair Glasner, Brian Mangum
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 F2 x F2 and therefore has unsolvable generalized word problem and is incoherent.
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