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TIFR-2014-Maths-B-5

in Set Theory & Algebra edited by
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Which of the following groups are isomorphic? 

  1. $\mathbb{R}$ and $C$ 
  2. $\mathbb{R}^{*}$ and $C^{*}$ 
  3. $S_{3}\times \mathbb{Z}/4$ and $S_{4}$ 
  4. $\mathbb{Z}/2\times \mathbb{Z}/2$ and $\mathbb{Z}/4$
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