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UP TGT Mathematics Set Theory Test Series - Part 3

The number of group homomorphisms from (Z6, +) to (Z12, +) is:

Type: MCQ • Marks: 1
The number of group homomorphisms from (Z6, +) to (Z12, +) is:
Options
A. 6
B. 12
C. 2
D. 72
Explanation
Number of homomorphisms from Z_m to Z_n is gcd(m, n). Here gcd(6, 12) = 6.
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