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:
“Labor is work that leaves no trace behind it when it is finished, or if it does, as in the case of the tilled field, this product of human activity requires still more labor, incessant, tireless labor, to maintain its identity as a “work” of man.”
—Mary McCarthy (1912–1989)