Representing Subgroups of Finitely Presented Groups by Quotient Subgroups

CONTENTS This article proposes to represent subgroups of finitely presented 1 . Creation of Quotient Representations and Easy Calculations g r o u p s b y t h e i r i m a g e i n a quo t ient. It gives algorithms for basic 2. Subdirect Products operations in this representation and investigates how iteration 3. Iterated Quotient Representations of this approach can be used to extend known quotients groups 4. Polycyclic-by-Finite Groups w i t h a solvable normal subgroup. 5. An Example