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
Famous quotes containing the word product:
“Much of our American progress has been the product of the individual who had an idea; pursued it; fashioned it; tenaciously clung to it against all odds; and then produced it, sold it, and profited from it.”
—Hubert H. Humphrey (1911–1978)