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A note on doubles of groups

2001; Elsevier BV; Volume: 156; Issue: 2-3 Linguagem: Inglês

10.1016/s0022-4049(99)00176-0

1873-1376

Nadia Benakli, Oliver T. Dasbach, Yair Glasner, Brian Mangum,

Finite Group Theory Research

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 × F 2 and therefore has unsolvable generalized word problem and is incoherent.