- subgroup of normal index
- Математика: подгруппа конечного индекса
Универсальный англо-русский словарь. Академик.ру. 2011.
subgroup of normal index
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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
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
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
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
Characteristic subgroup — In mathematics, particularly in the area of abstract algebra known as group theory, a characteristic subgroup is a subgroup that is invariant under all automorphisms of the parent group.[1][2] Because conjugation is an automorphism, every… … 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
Congruence subgroup — In mathematics, a congruence subgroup of a matrix group with integer entries is a subgroup defined by congruence conditions on the entries. A very simple example would be invertible 2x2 integer matrices of determinant 1, such that the off… … 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
Omega 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… … Wikipedia
Abstract index group — In operator theory, every Banach algebra can be associated with a group called its abstract index group. Definition Let A be a Banach algebra and G the group of invertible elements in A . The set G is open and a topological group. Consider the… … Wikipedia
Coset — In mathematics, if G is a group, and H is a subgroup of G, and g is an element of G, then gH = {gh : h an element of H } is a left coset of H in G, and Hg = {hg : h an element of H } is a right coset of H in G. Only when H is normal… … Wikipedia
