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I read the following definition: $G/H$ is the set of left cosets of $G$ modulo $H$ (Where $G$ and $H$ are groups).

Now, what I don't understand is: what does $G$ modulo $H$ mean?

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    Refers to the same thing.2017-02-21
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    Have a look at this answer http://math.stackexchange.com/a/1733675/2859402017-02-21
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    A quotient $G/H$ is the original set $G$ partitioned by an equivalence relation defined by the group $H$. That is: we says that $$p\sim q\iff p\in q\odot H$$ for all $p,q\in G$, where $\odot$ is the group operation in $G$.2017-02-21

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