Question

Step 1

First to prove that the given group is abelian.

Here in the given group

G is the set of all subsets of a set X, so G can be present here as a power set of X.

Cardinality of the group depend on the set G, if X is finite then group G is finite otherwise it is infinite group.

Step 2

In order to prove associativity

Step 3

Now, looking for the RHS...

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