UP TGT Mathematics Set Theory Test Series - Part 1
In a group G, if a^n = e and n is the smallest positive integer with this property, then n is called the:
Type: MCQ • Marks: 1
In a group G, if a^n = e and n is the smallest positive integer with this property, then n is called the:
Options
A. Rank of a
B. Degree of a
C. Index of a
D. Order of a
Explanation
Correct Answer: Option 4 (Order of a). 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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