isomorphic extension
121Split-octonion — In mathematics, the split octonions are a nonassociative extension of the quaternions (or the split quaternions). They differ from the octonions in the signature of quadratic form: the split octonions have a split signature (4,4) whereas the… …
122Kurosh subgroup theorem — In the mathematical field of group theory, the Kurosh subgroup theorem descibes the algebraic structure of subgroups of free products of groups. The theorem was obtained by a Russian mathematician Alexander Kurosh in 1934. [A. G. Kurosh, Die… …
123Galois group — In mathematics, a Galois group is a group associated with a certain type of field extension. The study of field extensions (and polynomials which give rise to them) via Galois groups is called Galois theory. The name is for Évariste Galois.For a… …
124Transcendence degree — In abstract algebra, the transcendence degree of a field extension L / K is a certain rather coarse measure of the size of the extension. Specifically, it is defined as the largest cardinality of an algebraically independent subset of L over K .A …
125Inverse Galois problem — In mathematics, the inverse Galois problem concerns whether or not every finite group appears as the Galois group of some Galois extension of the rational numbers Q. This problem, first posed in the 19th centuryFact|date=February 2007, is… …
126Schur multiplier — In mathematical group theory, the Schur multiplier or Schur multiplicator is the second homology group of a group G. It was introduced by Issai Schur (1904) in his work on projective representations. Contents 1 Examples and properties 2 Re …
127Classification of finite simple groups — Group theory Group theory …
128Homomorphism — In abstract algebra, a homomorphism is a structure preserving map between two algebraic structures (such as groups, rings, or vector spaces). The word homomorphism comes from the Greek language: ὁμός (homos) meaning same and μορφή (morphe)… …
