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GO Classes DPP | GATE CS | Discrete Mathematics| Group Theory

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A subgroup $H$ of a group $G$ is normal if Left and Right Cosets are Equal: $aH = Ha$. The set formed by multiplying $H$ on the left by $a$ is identical to the set formed by multiplying $H$ on the right by $a$.

=> $aH = Ha$

=> $ \{ah_1, ah_2, ah_3, \dots\} = \{h_1a, h_2a, h_3a, \dots\}$

 

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