Difference between revisions of "Quotient group"
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Latest revision as of 22:47, 18 May 2008
Let be a group, and an equivalence relation compatible with the group structure on . The structure derived from on the quotient set is called the quotient group of by , or the quotient group , or mod .
An equivalence relation on is compatible with the group structure on if and only if it is equivalent to a relation of the form , for some normal subgroup of .
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