To show that a subset of a group is a subgroup, we show that there is the identity element, that the subset is closed under the induced binary operation, and that each element of the subset has an inverse in the subset.(adsbygoogle = window.adsbygoogle || []).push({});

My question is regarding showing closure. To show that the subset is closed under the operation, if we assume that ##a## and ##b## are elements of the subset , do we have to show that ##ab## is still in he subset or that ##ba## is also in the subset?

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# I For groups, showing that a subset is closed under operation

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