Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

3.I.2B

Algebra and Geometry | Part IA, 2002

(a) What does it mean for a group to be cyclic? Give an example of a finite abelian group that is not cyclic, and justify your assertion.

(b) Suppose that GGG is a finite group of rotations of R2\mathbb{R}^{2}R2 about the origin. Is GGG necessarily cyclic? Justify your answer.

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