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

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number of abelian group of order 360 are ……​

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Adalynn 2 weeks 2021-09-04T02:33:52+00:00 2 Answers 0 views 0

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    2021-09-04T02:35:21+00:00

    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.

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    2021-09-04T02:35:48+00:00

    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.

    Hope it helps .

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