Question:
Let G be a finite group containing a non-identity element which is conjugate to its inverse. Then, which one of the following is TRUE ?
Let G be a finite group containing a non-identity element which is conjugate to its inverse. Then, which one of the following is TRUE ?
Updated On: Aug 13, 2024
- The order of G is necessarily even
- The order of G is not necessarily even
- G is necessarily cyclic
- G is necessarily abelian but need not be cyclic
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The Correct Option is A
Solution and Explanation
The correct option is (A) : The order of G is necessarily even.
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