Question

A group (G, *) is said to be abelian if​

Answer 1

Answer:

The group G is said to be abelian if a · b = b · a for all a, b ∈ G. If the group G is abelian, it is customary to denote the operation additively, using a + symbol, and to use the symbol 0 for the identity element.

Answer 2

A group (G, *) is said to be abelian if a*b = b*a for all a , b ∈ G

Given :

A group (G, *) is said to be abelian

To find :

The condition

Solution :

Step 1 of 2 :

Define abelian group

(G, *) is said to be abelian group if

• (G, *) is a group

• (G, *) is commutative

Step 2 of 2 :

Find the condition

Here the given group is (G, *)

(G, *) is said to be abelian if a*b = b*a for all a , b ∈ G

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