OCR FP3 2013 June — Question 7

Exam BoardOCR
ModuleFP3 (Further Pure Mathematics 3)
Year2013
SessionJune
TopicGroups
7 A commutative group \(G\) has order 18. The elements \(a , b\) and \(c\) have orders 2, 3 and 9 respectively.
  1. Prove that \(a b\) has order 6 .
  2. Show that \(G\) is cyclic.
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