wreath product
31Non-abelian group — In mathematics, a non abelian group, also sometimes called a non commutative group, is a group (G, * ) in which there are at least two elements a and b of G such that a * b ≠ b * a.[1][2] The term non abelian is …
32Generic polynomial — In Galois theory, a branch of modern algebra, a generic polynomial for a finite group G and field F is a monic polynomial P with coefficients in the field L = F ( t 1, ..., t n ) of F with n indeterminates adjoined, such that the splitting field… …
33Imperfect group — In mathematics, in the area of algebra known as group theory, an imperfect group is a group with no nontrivial perfect quotients. Some of their basic properties were established in harv|Berrick|Robinson|1993. The study of imperfect groups… …
34Produit semi-direct — Dans la théorie des groupes, le produit semi direct permet de définir un groupe G à partir de deux groupes H et K, et généralise la notion de produit direct de deux groupes. Sommaire 1 Produit semi direct interne 2 Produit semi direct externe 3… …
35Omega and agemo subgroup — In mathematics, or more specifically group theory, the omega and agemo subgroups described the so called power structure of a finite p group. They were introduced in (Hall 1933) where they were used to describe a class of finite p groups whose… …
36Construction of the real numbers — In mathematics, there are several ways of defining the real number system as an ordered field. The synthetic approach gives a list of axioms for the real numbers as a complete ordered field. Under the usual axioms of set theory, one can show that …
37Bimonster — In mathematics, the Bimonster is a group that is the wreath product of the Monster group M with Z2::Bi = M wr mathbb{Z} 2.The Bimonster is also a quotient of the Coxeter group corresponding to the Coxeter Dynkin diagram Y 555 (a Y shaped graph… …
38Aperiodic monoid — In mathematics, an aperiodic semigroup is a semigroup S such that for every x ∈ S , there exists a nonnegative integer n such that xn = xn + 1 .An aperiodic monoid is an aperiodic semigroup which is a monoid. This notion is in some sense… …
39Spectrum of a theory — In model theory, a branch of mathematical logic, the spectrum of a theory is given by the number of isomorphism classes of models in various cardinalities. More precisely, for any complete theory T in a language we write I(T, α) for the number of …
40Classical modular curve — In number theory, the classical modular curve is an irreducible plane algebraic curve given by an equation Φn(x, y)=0, where for the j invariant j(τ), x=j(n τ), y=j(τ) is a point on the curve. The curve is sometimes called X0(n), though often… …
