subgroups
51Mercosur — Mercado Común del Sur Mercado Comum do Sul Ñemby Ñemuha Southern Common Market …
52Bubi — Also known as the Bantu Speaking Bube, the Bubi People are an African ethnic group, members of the Bantu group, who are indigenous to Bioko Island, Equatorial Guinea. Once the majority group in the region, the Bubi have, since the end of Spanish… …
53Fundamental theorem of Galois theory — In mathematics, the fundamental theorem of Galois theory is a result that describes the structure of certain types of field extensions.In its most basic form, the theorem asserts that given a field extension E / F which is finite and Galois,… …
54SO(4) — In mathematics, SO(4) is the four dimensional rotation group; that is, the group of rotations about a fixed point in four dimensional Euclidean space. The name comes from the fact that it is (isomorphic to) the special orthogonal group of order 4 …
55Point groups in three dimensions — In geometry, a point group in three dimensions is an isometry group in three dimensions that leaves the origin fixed, or correspondingly, an isometry group of a sphere. It is a subgroup of the orthogonal group O(3), the group of all isometries… …
56Quasinormal subgroup — In mathematics, in the field of group theory, a quasinormal subgroup, or permutable subgroup, is a subgroup of a group that commutes (permutes) with every other subgroup. The term quasinormal subgroup was introduced by Oystein Ore in 1937.Two… …
57Point groups in two dimensions — In geometry, a point group in two dimensions is an isometry group in two dimensions that leaves the origin fixed, or correspondingly, an isometry group of a circle. It is a subgroup of the orthogonal group O(2), the group of all isometries which… …
58Brauer's theorem on induced characters — Brauer s theorem on induced characters, often known as Brauer s induction theorem, and named after Richard Brauer, is a basic result in the branch of mathematics known as character theory, which is, in turn, part of the representation theory of a …
59Fitting's theorem — is a mathematical theorem proved by Hans Fitting. It can be stated as follows::If M and N are nilpotent normal subgroups of a group G , then their product MN is also a nilpotent normal subgroup of G ; if, moreover, M is nilpotent of class m and N …
60Janko group J4 — In mathematics, the fourth Janko group J 4 is a sporadic finite simple group whose existence was suggested by Zvonimir Janko (1976), and then proven to uniquely exist by Simon Norton and others in 1980. It is the unique finite simple group of… …
