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TIFR2021-Maths-A: 19

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Let $G$ be any finite group of order $2021$. For which of the following positive integers $m$ is the map $G\rightarrow G$, given by $g\mapsto g^m$, a bijection?

  1. $43$
  2. $45$
  3. $47$
  4. none of the other three options
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