In mathematics, specifically in group theory, a semidirect product is a particular way in which a group can be put together from two subgroups, one of which is a normal subgroup. A semidirect product is a generalization of a direct product. It is a cartesian product as a set, but with a particular multiplication operation.
Read more about Semidirect Product: Some Equivalent Definitions, Elementary Facts and Caveats, Semidirect Products and Group Homomorphisms, Examples, Relation To Direct Products, Generalizations, Notation
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—Al Capp (1909–1979)