wreath product

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• Wreath product — In mathematics, the wreath product of group theory is a specialized product of two groups, based on a semidirect product. Wreath products are an important tool in the classification of permutation groups and also provide a way of constructing… …   Wikipedia

• Product of groups — In mathematics, a product of groups usually refers to a direct product of groups, but may also mean: *semidirect product *product of subgroups *wreath product *free product …   Wikipedia

• Direct product of groups — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product …   Wikipedia

• Semidirect product — In mathematics, especially in the area of abstract algebra known as 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… …   Wikipedia

• Gibson Guitar Corporation product list — This is a list of Gibson brand of guitars manufactured by Gibson Guitar Corporation, alphabetically by category then alphabetically by product (lowest numbers first). The list excludes other Gibson brands such as Epiphone.Acoustic guitars* Gibson …   Wikipedia

• Symmetric group — Not to be confused with Symmetry group. A Cayley graph of the symmetric group S4 …   Wikipedia

• Solvable group — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product …   Wikipedia

• Krohn–Rhodes theory — In mathematics and computer science, Krohn Rhodes theory is an approach to the study of finite semigroups and automata that seeks to decompose them in terms of elementary components. These turn out to correspond to finite aperiodic semigroups and …   Wikipedia

• Generalized permutation matrix — In mathematics, a generalized permutation matrix (or monomial matrix) is a matrix with the same nonzero pattern as a permutation matrix, i.e. there is exactly one nonzero entry in each row and each column. Unlike a permutation matrix, where the… …   Wikipedia

• p-group — Not to be confused with n group. In mathematics, given a prime number p, a p group is a periodic group in which each element has a power of p as its order: each element is of prime power order. That is, for each element g of the group, there… …   Wikipedia

• P-group — In mathematics, given a prime number p , a p group is a periodic group in which each element has a power of p as its order. That is, for each element g of the group, there exists a nonnegative integer n such that g to the power pn is equal to the …   Wikipedia