UP TGT Mathematics Set Theory Test Series - Part 1
If an element 'a' of a group G has order n, what is the order of a^(-1)?
Type: MCQ • Marks: 1
If an element 'a' of a group G has order n, what is the order of a^(-1)?
Options
A. 1/n
B. 2n
C. n
D. n - 1
Explanation
Correct Answer: Option 3 (n). In group theory, the order of an element 'a' is the smallest positive integer n such that a^n = e. Properties of element orders follow divisor rules relative to group order.
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