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Asphericity of groups defined by graphs. (arXiv:1711.05293v1 [math.GR])
来源于:arXiv
A graph $\Gamma$ labelled by a set $S$ defines a group $G(\Gamma)$ whose
generators are the set of labels $S$ and whose relations are all words which
can be read on closed paths of this graph. We introduce the notion of
aspherical graph and prove that such a graph defines an aspherical group
presentation. This result generalizes a theorem of Dominik Gruber on graphs
satisfying graphical $C(6)$-condition. 查看全文>>
