A note on doubles of groups
群论
2007-06-13 v1 几何拓扑
摘要
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.
引用
@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}
}
备注
5 pages, 1 figure