- separable group
- мат.сепарабельная группа
English-Russian scientific dictionary. 2008.
English-Russian scientific dictionary. 2008.
Separable polynomial — In mathematics, two slightly different notions of separable polynomial are used, by different authors. According to the most common one, a polynomial P(X) over a given field K is separable if all its roots are distinct in an algebraic closure of… … Wikipedia
Separable algebra — A separable algebra is a kind of semisimple algebra. It is a generalization to associative algebras of the notion of a separable field extension. Definition Let K be a field. An associative K algebra A is said to be separable if for every field… … Wikipedia
Unitary group — In mathematics, the unitary group of degree n , denoted U( n ), is the group of n times; n unitary matrices, with the group operation that of matrix multiplication. The unitary group is a subgroup of the general linear group GL( n , C).In the… … Wikipedia
Amenable group — In mathematics, an amenable group is a locally compact topological group G carrying a kind of averaging operation on bounded functions that is invariant under left (or right) translation by group elements. The original definition, in terms of a… … Wikipedia
Langlands group — In representation theory, a branch of mathematics, the Langlands (dual) group L G (also called L group) is a group associated to a reductive group G over a field k that controls the representation theory of G . It is an extension of the absolute… … Wikipedia
Absolute Galois group — In mathematics, the absolute Galois group GK of a field K is the Galois group of K sep over K , where K sep is a separable closure of K . Alternatively it is the group of all automorphisms of the algebraic closure of K that fix K . The absolute… … Wikipedia
Residually finite group — In the mathematical field of group theory, a group G is residually finite or finitely approximable if for every nontrivial element g in G there is a homomorphism h from G to a finite group, such that :h(g) eq 1.,There are a number of equivalent… … Wikipedia
Compact quantum group — In mathematics, a compact quantum group is an abstract structure on a unital separable C* algebra axiomatized from those that exist on the commutative C* algebra of continuous complex valued functions on a compact quantum group. The basic… … Wikipedia
Compactly generated group — In mathematics, a compactly generated (topological) group is a topological group G which is algebraically generated by one of its compact subsets. Explicitly, this means that there exists a compact subset K of G such that So if K is symmetric,… … Wikipedia
SQ universal group — In mathematics, in the realm of group theory, a countable group is said to be SQ universal if every countable group can be embedded in one of its quotient groups. SQ universality can be thought of as a measure of largeness or complexity of a… … Wikipedia
Grigorchuk group — In the mathematical area of group theory, the Grigorchuk group or the first Grigorchuk group is a finitely generated group constructed by Rostislav Grigorchuk that provided the first example of a finitely generated group of intermediate (that is … Wikipedia