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单词 SubdirectProductOfGroups
释义

subdirect product of groups


Let (Gi)iI be a family of groups.A subgroupMathworldPlanetmathPlanetmath (http://planetmath.org/Subgroup) H of the direct productPlanetmathPlanetmathPlanetmathPlanetmath (http://planetmath.org/DirectProductAndRestrictedDirectProductOfGroups) iIGiis said to be a subdirect productPlanetmathPlanetmath (or subcartesian product) of (Gi)iIif πi(H)=Gi for each iI,where πi:iIGiGi is the i-th projection map.

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