Question: Please also explain how each are used. QUESTION 2 a) Construct a group table for Zz x Z, and name a group that is isomorphic

Please also explain how each are used.

QUESTION 2 a) Construct a group table for Zz x Z, and name a group that is isomorphic to it. b) State the conditions for the set / to be a subgroup of a group G. ii) Find the smallest subgroup of the group 12" roots of unity, U12 = (1,5,52,....51, under multiplication that contains " and

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