UP TGT Mathematics Set Theory Test Series - Part 1
What is the order of the element 3 in the group (Z_6, +_6)?
Type: MCQ • Marks: 1
What is the order of the element 3 in the group (Z_6, +_6)?
Options
A. 2
B. 3
C. 1
D. 6
Explanation
Correct Answer: Option 1 (2). 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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