conjugate subgroup

См. также в других словарях:

• conjugate subgroup — jungtinis pogrupis statusas T sritis fizika atitikmenys: angl. conjugate subgroup vok. konjugierte Untergruppe, f rus. сопряжённая подгруппа, f pranc. sous groupe conjugué, m …   Fizikos terminų žodynas

• Conjugate-permutable subgroup — In mathematics, in the field of group theory, a conjugate permutable subgroup is a subgroup that commutes with all its conjugate subgroups. The term was introduced by Tuval Foguel in 1996 and arose in the context of the proof that for finite… …   Wikipedia

• Conjugate closure — In group theory, the conjugate closure of a subset S of a group G is the subgroup of G generated by SG, i.e. the closure of SG under the group operation, where SG is the conjugates of the elements of S: SG = {g−1sg | g ∈ G and s ∈ S} The… …   Wikipedia

• Quasinormal subgroup — In mathematics, in the field of group theory, a quasinormal subgroup, or permutable subgroup, is a subgroup of a group that commutes (permutes) with every other subgroup. The term quasinormal subgroup was introduced by Oystein Ore in 1937.Two… …   Wikipedia

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

• Focal subgroup theorem — In abstract algebra, the focal subgroup theorem describes the fusion of elements in a Sylow subgroup of a finite group. The focal subgroup theorem was introduced in (Higman 1958) and is the first major application of the transfer according to… …   Wikipedia

• Hall subgroup — In mathematics, a Hall subgroup of a finite group G is a subgroup whose order is coprime to its index. They are named after the group theorist Philip Hall. Definitions A Hall divisor of an integer n is a divisor d of n such that d and n / d are… …   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

• Subnormal subgroup — In mathematics, in the field of group theory, a subgroup H of a given group G is a subnormal subgroup of G if there is a chain of subgroups of the group, each one normal in the next, beginning at H and ending at G .In notation, H is k subnormal… …   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

• Paranormal subgroup — In mathematics, in the field of group theory, a paranormal subgroup is a subgroup such that the subgroup generated by it and any conjugate of it, is also generated by it and a conjugate of it within that subgroup.In symbols, H is paranormal in G… …   Wikipedia