What is the Quotient Group A/B?

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The quotient group A/B is defined when A is a group and B is a normal subgroup of A. This mathematical structure represents the set of cosets of B in A, forming a new group under the operation inherited from A. It is essential to note that B must be a normal subgroup for the quotient group to be well-defined. Additional resources for understanding mathematical notation can be found on the Wikipedia page for the Table of Mathematical Symbols.

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pellman
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If A is a group and B is a subgroup of A, what is A/B? I don't need a definition really, just the term or name for the quantity A/B. I can look it up myself from there.

Also, if anyone has any suggestions or links that make it easy to look up math concepts by notation rather than looking up the word for it, I would be interested.
 
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Note that B must be a normal subgroup of A, not any subgroup.
 

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