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"The necessary and sufficient condition for a subset of a group to be called as sub-group is it should satisfy the algebraic structure property".

can somebody tell why this should be TRUE. We are concluding it as sub-group just by seeing only algebraic structure property satisfying and not checking for identity element,inverse ....why ?

1 Answer

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Since a subgroup is also a group,it must satisfy all the properties of group..not only algebraic structure.

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