On subgroups of R. Thompson's group $ F$ and other diagram groups

@article{Golan1999OnSO,
  title={On subgroups of R. Thompson's group \$ F\$ and other diagram groups},
  author={Gili Golan and M. Sapir},
  journal={Sbornik Mathematics},
  year={1999},
  volume={190},
  pages={1077-1130}
}
In the present paper we continue our study of an interesting class of groups, the so-called diagram groups. In simple terms, a diagram is a labelled planar graph bounded by two paths (the top and the bottom ones). Multiplication of diagrams is defined naturally: the top path of one diagram is identified with the bottom path of another diagram, and then pairs of cancellable cells are deleted. Each diagram group is determined by some alphabet containing all possible labels of edges, a set of… Expand

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