subdirect product of groups

Let (Gi)iI be a family of groups. A subgroupMathworldPlanetmathPlanetmath ( H of the direct productPlanetmathPlanetmathPlanetmathPlanetmath ( iIGi is said to be a subdirect productPlanetmathPlanetmath (or subcartesian product) of (Gi)iI if πi(H)=Gi for each iI, where πi:iIGiGi is the i-th projection map.

Title subdirect product of groups
Canonical name SubdirectProductOfGroups
Date of creation 2013-03-22 14:53:25
Last modified on 2013-03-22 14:53:25
Owner yark (2760)
Last modified by yark (2760)
Numerical id 7
Author yark (2760)
Entry type Definition
Classification msc 20E26
Synonym subdirect product
Synonym subcartesian product
Synonym subcartesian product of groups
Related topic ResiduallyCalP
Related topic DirectProductAndRestrictedDirectProductOfGroups