soluble subgroup

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• Subgroup series — In mathematics, a subgroup series is a chain of subgroups: Subgroup series can simplify the study of a group to the study of simpler subgroups and their relations, and several subgroup series can be invariantly defined and are important… …   Wikipedia

• Carter subgroup — In mathematics, especially in the field of group theory, a Carter subgroup of a finite group G is a subgroup H that is a nilpotent group, and self normalizing. These subgroups were introduced by Roger Carter, and marked the beginning of the post… …   Wikipedia

• Pronormal subgroup — In mathematics, especially in the field of group theory, a pronormal subgroup is a subgroup that is embedded in a nice way. Pronormality is a simultaneous generalization of both normal subgroups and abnormal subgroups such as Sylow subgroups,… …   Wikipedia

• Core (group) — In group theory, a branch of mathematics, a core is any of certain special normal subgroups of a group. The two most common types are the normal core of a subgroup and the p core of a group. Contents 1 The normal core 1.1 Definition 1.2… …   Wikipedia

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• A-group — In mathematics, in the area of abstract algebra known as group theory, an A group is a type of group that is similar to abelian groups. The groups were first studied in the 1940s by Philip Hall, and are still studied today. A great deal is known… …   Wikipedia

• Local property — In mathematics, a phenomenon is sometimes said to occur locally if, roughly speaking, it occurs on sufficiently small or arbitrarily small neighborhoods of points. Contents 1 Properties of a single space 1.1 Examples 2 Properties of a pair of… …   Wikipedia

• Zappa-Szép product — In mathematics, especially group theory, the Zappa Szep product (also known as the knit product) describes a way in which a group can be constructed from two subgroups. It is a generalization of the direct and semidirect products.Internal Zappa… …   Wikipedia

• Glossary of group theory — A group ( G , •) is a set G closed under a binary operation • satisfying the following 3 axioms:* Associativity : For all a , b and c in G , ( a • b ) • c = a • ( b • c ). * Identity element : There exists an e ∈ G such that for all a in G , e •… …   Wikipedia

• Canadian system of soil classification — The Canadian system of soil classification is more closely related to the American system than any other. They differ in several ways. The Canadian system is designed to cover only Canadian soils. The Canadian system dispenses with a sub order… …   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