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    Quotient Group

    Alternate name
    Definition

    For a group G and a normal subgroup N of G, the quotient group of N in G, written G/N and read "G modulo N", is the set of cosets of N in G. Quotient groups are also called factor groups. The elements of G/N are written N a and form a group under the normal operation on the group N on the coefficient a. Thus, (N a)(N b) = N a b.

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