Abstrak

Kembali

The action dimension of a discrete group Γ is the smallest dimension of a contractible manifold that admits a proper action of Γ. Associated to any flag complex L there is a right-angled Artin group, AL. We compute the action dimension of AL for many L. Our calculations come close to confirming the conjecture that if an 2-Betti number of AL in degree l is nonzero, then the action dimension of AL is  2l.