On certain cohomological invariants of groups

Ioannis Emmanouil

Abstract. In this paper, we show that the invariants silpZG and
spliZG, which were introduced by Gedrich and Gruenberg in [10],
are equal for any group G. As an application, we show that a group 
G is finite if and only if cdG = 0, where cd is the generalized 
cohomological dimension of groups introduced by Ikenaga in [15].