Homology and cohomology of a class of polycyclic groups

The homology and the cohomology of the class of polycyclic groups G given by generators h1, h2,..., hsub(n+1) and relations h2-1 h1 h2=h1sup(m1),h3-1 h2 h3=h2sup(m2),..., hsub(n+1)-1 hsub(n) hsub(n+1)=hsub(n)sup(msub(n)) are determined through the construction of a suitable free ZG resolution for the trivial ZG module Z. (author)