Algebraic invariants for right-angled Artin groups
classification
🧮 math.GR
math.AC
keywords
gammaartingraphquotientsright-angledverticesadjacentalgebraic
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A finite simplicial graph \Gamma determines a right-angled Artin group G_\Gamma, with generators corresponding to the vertices of \Gamma, and with a relation vw=wv for each pair of adjacent vertices. We compute the lower central series quotients, the Chen quotients, and the (first) resonance variety of G_\Gamma, directly from the graph \Gamma.
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