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Algebraic invariants for right-angled Artin groups

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: S. Papadima, A.I. Suciu

Editorial: Mathematische Annalen, 334 (3), p.533-555, 2006.

Rezumat:

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.

Cuvinte cheie: Right-angled Artin group, lower central series, Chen groups, clique polynomial, cut polynomial, resonance variety

URL: http://dx.doi.org/10.1007/s00208-005-0704-9