Question

number of abelian group of order 360 are ......​

Answer 1

Answer:

Number of abelian group of order 360 are six .

• There are six different abelian groups (up to isomorphism) of order 360.
• A group G is decomposable if it is isomorphic to a direct product of two proper nontrivial subgroups. Otherwise G is indecomposable.
• The finite indecomposable abelian groups are exactly the cyclic groups with order a power of a prime.

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Answer 2

Answer:

There are 6 different abelian groups (upto isomorphism) of order 360. A group G is decomposable if it is isomorphism to a direct product of two proper non tribal subgroups. Otherwise G is indecomposable. The final indecomposable abelian groups are the cyclic groups with order a power of a prime.