Prove that an abelian group G of order 2000 is the direct
product PxQ where P...
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Prove that an abelian group G of order 2000 is the directproduct PxQ where P is the Sylow-2 subgroup of G, and Q the Sylow-5subgroup of G. (So order of P=16 and order or Q=125).
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Note that Thus by Sylow theorem there exists a Sylow2 subgroup of order and Sylow5 subgroup Q of order Since G is commutative to show G is a
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