- Frattini subgroup
- Математика: подгруппа Фраттини
Универсальный англо-русский словарь. Академик.ру. 2011.
Frattini subgroup
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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
Frattini — is a common Italian surname: * Franco Frattini, politician * Giovanni Frattini, mathematician ** Frattini argument ** Frattini subgroup * Francesco Frattini, cyclist … Wikipedia
Frattini's argument — In group theory, a branch of mathematics, Frattini s argument is an important lemma in the structure theory of finite groups. It is named after Giovanni Frattini, who first used it in a paper from 1885 when defining the Frattini subgroup of a… … Wikipedia
Giovanni Frattini — (January 8, 1852 Rome, Italy ndash; July 21, 1925) was an Italian mathematician, noted for his contributions to group theory. He entered the University of Rome in 1869, where he studied mathematics with Giuseppe Battaglini, Eugenio Beltrami, and… … Wikipedia
Maximal subgroup — Lattice of subgroups of the symmetric group S4 M. s. are A4, three Dih4 and four S3 (Compare: Subgroups of S … 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
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
Generating set of a group — In abstract algebra, a generating set of a group is a subset that is not contained in any proper subgroup of the group. Equivalently, a generating set of a group is a subset such that every element of the group can be expressed as the combination … Wikipedia
Rank of a group — For the dimension of the Cartan subgroup, see Rank of a Lie group In the mathematical subject of group theory, the rank of a group G , denoted rank( G ), can refer to the smallest cardinality of a generating set for G , that is:… … Wikipedia
List of group theory topics — Contents 1 Structures and operations 2 Basic properties of groups 2.1 Group homomorphisms 3 Basic types of groups … Wikipedia
List of mathematics articles (F) — NOTOC F F₄ F algebra F coalgebra F distribution F divergence Fσ set F space F test F theory F. and M. Riesz theorem F1 Score Faà di Bruno s formula Face (geometry) Face configuration Face diagonal Facet (mathematics) Facetting… … Wikipedia
