On the virtual cohomological dimensions of Coxeter groups Alexander Dranishnikov We apply Bestvina's approach of calculation of the virtual cohomological dimension of Coxeter groups. The explicit formula for vcd_F Gamma in terms of cohomological properties of corresponding complex K is given. Math. Subj. Class. Primary: 20F32, 55M10, 57S30; Secondary: 16A60, 20J05, 51K10, 54E45.