Algebraic invariants for right-angled Artin groups
Abstract
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- December 2004
- DOI:
- 10.48550/arXiv.math/0412520
- arXiv:
- arXiv:math/0412520
- Bibcode:
- 2004math.....12520P
- Keywords:
-
- Group Theory;
- Commutative Algebra;
- 20F36 (primary);
- 13F55;
- 20F14;
- 55P62;
- 57M07 (secondary)
- E-Print:
- 20 pages