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math.GR2003★ 3 cited
Diagram groups are totally orderable
Victor Guba, Mark Sapir
In this paper, we introduce the concept of the independence graph of a directed 2-complex. We show that the class of diagram groups is closed under graph products over independence…
math.GR2003★ 1 cited
Diagram groups and directed 2-complexes: homotopy and homology
V. S. Guba, M. V. Sapir
We show that diagram groups can be viewed as fundamental groups of spaces of positive paths on directed 2-complexes (these spaces of paths turn out to be classifying spaces). Thus…