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Q1: Write
down the elements of 2 +7ℤ. Marks = 3
Q2: Prove
that a factor group of a cyclic group is
cyclic. Marks = 3
Q3: Let S be a subgroup of a group G. Then show that S is normal if
and only if
(aS)(bS) = (ab)S, for all a, b in G
Marks
= 4
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