- maximal subgroup
- мат. максимальная подгруппа
Большой англо-русский и русско-английский словарь. 2001.
maximal subgroup
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Maximal subgroup — Lattice of subgroups of the symmetric group S4 M. s. are A4, three Dih4 and four S3 (Compare: Subgroups of S … Wikipedia
Maximal compact subgroup — In mathematics, a maximal compact subgroup K of a topological group G is a subgroup K that is a compact space, in the subspace topology, and maximal amongst such subgroups. Maximal compact subgroups play an important role in the classification of … Wikipedia
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Maximal torus — In the mathematical theory of compact Lie groups a special role is played by torus subgroups, in particular by the maximal torus subgroups. A torus in a Lie group G is a compact, connected, abelian Lie subgroup of G (and therefore isomorphic to… … 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
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
Cartan subgroup — In mathematics, a Cartan subgroup of a Lie group or algebraic group G is one of the subgroups whose Lie algebrais a Cartan subalgebra. The dimension of a Cartan subgroup, and therefore of a Cartan subalgebra, is the rank of G .ConventionsThe… … Wikipedia
Frattini subgroup — Hasse diagram of the lattice of subgroups of the dihedral group Dih4 In the 3 element layer are the maximal subgroups; their intersection (the F. s.) is the central element in the 5 element layer. So Dih4 has only one non generating element… … Wikipedia
Borel subgroup — In the theory of algebraic groups, a Borel subgroup of an algebraic group G is a maximal Zariski closed and connected solvable algebraic subgroup. For example, in the group GLn (n x n invertible matrices), the subgroup of invertible upper… … Wikipedia
SA subgroup — In mathematics, in the realm of group theory, a subgroup of a group is termed a SA subgroup if the centralizer of any nonidentity element in the subgroup is precisely the subgroup. Equivalently, an SA subgroup is a centrally closed Abelian… … Wikipedia
Fitting subgroup — In mathematics, especially in the area of algebra known as group theory, the Fitting subgroup F of a finite group G , named after Hans Fitting, is the unique largest normal nilpotent subgroup of G . Intuitively, it represents the smallest… … Wikipedia
