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Prabhupada Asked a Question
April 1, 2020 6:18 pmpts 30 pts
  • IIT JAM
  • Mathematics (MA)

Show that there doesn't exist any element of order 2 in a group of odd order

show that there doesn't exist any element of order 2 in a group of odd order
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  • P Choursiya Best Answer
    let |G| = 2n+1 for some n€ N. suppose there exist g€G such that |g| = 2. then order of cyclic group || = |g| = 2. where = {e,g} by Lagrange's thm, every subgroup divides ord...
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