one can define a product of group subsets in a natural way. If S and T are subsets of a group G, then their product is the subset of G defined by S T...

product Cartesian product of sets Direct product of groups Semidirect product Product of group subsets Wreath product Free product Zappa–Szép product...

a product of groups usually refers to a direct product of groups, but may also mean: semidirect product Product of group subsets wreath product free...

group-theoretic analogue of the Cartesian product of sets and is one of several important notions of direct product in mathematics. In the context of...

In the same way the power set of a group G is a monoid under the product of group subsets. Let S be a set. The set of all functions S → S forms a monoid...

special type of complement in a Frobenius group. A complemented group is one where every subgroup has a complement. Product of group subsets David S. Dummit...

abelian group Free group Free product Generating set of a group Group cohomology Group extension Presentation of a group Product of group subsets Schur...

an order on the subsets, which is also called the lexicographical order. In this context, one generally prefer to sort first the subsets by cardinality...

abstractly, one talks about the product in category theory, which formalizes these notions. Examples are the product of sets, groups (described below), rings...

group theory, a branch of mathematics, a subset of a group G is a subgroup of G if the members of that subset form a group with respect to the group operation...