Akash Babu posted an Question
July 13, 2022 • 05:39 am 30 points
  • CSIR NET
  • Mathematical Sciences

10. if a finite group g has an clement of order 2 then (a) o(g) is divisible by 2. (c) g is abelian and o(i) is an even mteger. b) og)= -2 (d) g is cyclic and o

10. If a finite group G has an clement of order 2 then (A) O(G) is divisible by 2. (C) G is abelian and O(i) is an even mteger. B) oG)= -2 (D) G is cyclic and O(G) is an even integer.

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  • Pankaj dwivedi Best Answer

    Check the answer We know that O(a)|O(G); Order G is finite and a belong to G If O(a)=2 therefore 2|O(G) hence O(G) is divisible by 2 Sandeep b,c,d is incorrect Take G=Q8, O(G)=8

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