There are two main results contained in this dissertation. T he first result
is a description of an algorithm for the computation of polycyclic presentations for nilpotent factor groups of a given finitely presented group. T his algorithm
is a generalization of the methods employed in the p -quotient algorithm (Havas & Newman, 1980) to possibly infinite nilpotent groups. T he second is a method for the computation of the Schur multiplicator of a group given by a polycyclic presentation and a...[Show more]
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