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...writing mathematical arguments are improving. You should now be able to: use, and understand the theoretical underpinnings of, mathematical induction understand and be able to apply the Generalised Principle of Mathematical Induction and the Second Principle of Mathematical Induction recognise the importance of the Division Algorithm, and be able to apply it in a variety...

...writing mathematical arguments are improving. You should now be able to: apply the Internal Direct Product Theorem in simple cases decide whether a given group is cyclic, and given a finite cyclic group, find a generator for a subgroup of a given order express a given finite cyclic group as the direct product of cyclic groups of prime power order and, given two direct...