- normal subgroup
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A subgroup H of a group G that is invariant under conjugation; that is, for all elements h of H and for all elements g in G, the element ghg is in H.
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normal subgroup
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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
normal subgroup — invariantinis pogrupis statusas T sritis fizika atitikmenys: angl. invariant subgroup; normal subgroup vok. invariante Untergruppe, f rus. инвариантная подгруппа, f pranc. sous groupe invariant, m … Fizikos terminų žodynas
Transitively normal subgroup — In mathematics, in the field of group theory, a subgroup of a group is said to be transitively normal in the group if every normal subgroup of the subgroup is also normal in the whole group. In symbols, H is a transitively normal subgroup of G if … Wikipedia
C normal subgroup — In mathematics, in the field of group theory, a subgroup H of a group G is called c normal if there is a normal subgroup T of G such that HT = G and the intersection of H and T lies inside the normal core of H.For a weakly c normal subgroup, we… … Wikipedia
Weakly normal subgroup — In mathematics, in the field of group theory, a subgroup H of a group G is said to be weakly normal if whenever H^g leq N G(H), we have g in N G(H). Every pronormal subgroup is weakly normal.References* | year=2003 | journal=Journal of the… … Wikipedia
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
Subgroup — This article is about the mathematical concept For the galaxy related concept, see Galaxy subgroup. Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum … Wikipedia
Normal morphism — In category theory and its applications to mathematics, a normal monomorphism or conormal epimorphism is a particularly well behaved type of morphism. A normal category is a category in which every monomorphism is normal. A conormal category is… … Wikipedia
Subgroup growth — Im mathematics, subgroup growth is a branch of group theory, dealing with quantitative questions about subgroups of a given group. [citebook|title=Subgroup Growth|author=Alexander Lubotzky, Dan Segal|year=2003|publisher=Birkhäuser|id=ISBN… … Wikipedia
Normal (mathematics) — In mathematics, normal can have several meanings:* Surface normal, a vector (or line) that is perpendicular to a surface. * Normal component, the component of a vector that is perpendicular to a surface. ** Normal curvature, of a curve on a… … Wikipedia
