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Why Z Is Not A Group? [Solved]

The reason why (Z, *) is not a group is that most of the elements do not have inverses. Furthermore, addition is commutative, so (Z, +) is an abelian group.

Proof that Z x Z is not a cyclic group

It follows that the direct product of ANY two infinite cyclic

Groups Part - 5 | Examples | Z is not a multiplicative group

In this video, i have explained how to prove

show that (z,+) is an abelian group , (z,+) is abelian group theory

An Abelian