Solvable
71Subgroup series — In mathematics, a subgroup series is a chain of subgroups: Subgroup series can simplify the study of a group to the study of simpler subgroups and their relations, and several subgroup series can be invariantly defined and are important… …
72Dynamical billiards — The Bunimovich stadium is a chaotic dynamical billiard A billiard is a dynamical system in which a particle alternates between motion in a straight line and specular reflections from a boundary. When the particle hits the boundary it reflects… …
73Levi decomposition — In Lie theory and representation theory, the Levi decomposition, discovered by Eugenio Elia Levi (1906), states that any finite dimensional real Lie algebra g is (as a vector space) the direct sum of two significant structural parts; namely,… …
74Vertex model — A vertex model is a type of statistical mechanics model in which the Boltzmann weights are associated with a vertex in the model (representing an atom or particle). This contrasts with a nearest neighbour model, such as the Ising model, in which… …
75Carter 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… …
76Radical of a Lie algebra — The radical of a Lie algebra mathfrak{g} is a particular ideal of mathfrak{g}. Definition Let mathfrak{g} be a Lie algebra. The radical of mathfrak{g} is defined as the largest solvable ideal of mathfrak{g}.Such an ideal exists for the following… …
77Monomial group — In mathematics, in the area of algebra studying the character theory of finite groups, an M group or monomial group is a finite group whose complex irreducible characters are all monomial, that is, induced from characters of degree 1 (Isaacs… …
78Grigorchuk 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 …
79Quintic equation — Eine Gleichung fünften Grades oder quintische Gleichung ist in der Mathematik ein Polynom vom Grad fünf. Es ist von der Form ax5 + bx4 + cx3 + dx2 + ex + f = 0, wobei die Koeffizienten a,b,c,d,e und f Elemente eines Körpers (typischerweise die… …
80Quintische Gleichung — Eine Gleichung fünften Grades oder quintische Gleichung ist in der Mathematik ein Polynom vom Grad fünf. Es ist von der Form ax5 + bx4 + cx3 + dx2 + ex + f = 0, wobei die Koeffizienten a,b,c,d,e und f Elemente eines Körpers (typischerweise die… …
