ASL STEM

Alternating Group Sign Video

No video uploaded yet.

Definition

The kernel of the sign homomorphism is called the alternating group. It consists of the even permutations, and is denoted by A_n.

Source: Algebra, second edition by Michael Artin

Other Submissions

BROWSE

All

> Mathematics

> Abstract Algebra

> Alternating Group

+ General Linear Group *

+ Induced Law *

+ Isomorphic *

+ Lagrange's Theorem *

+ Special Linear Group *

+ Proper Subgroup *

+ Law Of Composition *

+ Trivial Homomorphism *

+ Inclusion Map *

+ Sign Homomorphism *

- Alternating Group *

+ Normal Subgroup

+ Isomorphism

+ Left Coset *

+ Isomorphism Class *

+ Correspondence Theorem *

+ Counting Formula *

+ Stabilizer *

+ Conjugate Subgroup *

+ Permutation Representation *

+ Commutator Subgroup *

+ Equator *

+ Fixed Vector *

+ First Isomorphism Theorem *

+ Proper Subspace *

+ Prime Field *

+ Characteristic Zero *

+ Basechange Matrix *

+ Direct Sum *

+ Dimension Formula *

+ Jordan Canonical Form *

+ Jordan Decomposition Theorem *

+ Nilpotent *

+ Kronecker Delta *

+ Orthogonal Group *

+ Special Orthogonal Group *

+ Orthogonal Operator *

+ Cayley Hamilton Theorem *

+ Matrix Exponential *

+ Unitary Matrix *

+ First Sylow Theorem *

+ Translation Group *

+ Discrete Subgroup *

+ Representation *

+ Lattice *

+ Point Group *

+ Tetrahedral Group *

+ Octahedral Group *

+ Icosahedral Group *

+ Truncated Polyhedron *

+ Sylow P Subgroup *

+ Second Sylow Theorem *

+ Third Sylow Theorem *

+ Bilinear Form *

+ Positive Definite *

+ Negative Semidefinite *

+ Negative Definite *

+ Indefinite *

+ Hermitian Form *

+ Standard Hermitian Form *

+ Hermitian Symmetry *

+ Associates *

+ Positive Semidefinite *

+ Nondegenerate *

+ Degenerate *

+ Orthogonal Sum *

+ Orthogonal Projection *

+ Hermitian Space *

+ Adjoint Operator *

+ Symmetric Operator *

+ Degenerate Conic *

+ Conics *

+ Nondegenerate Conic *

+ Orthogonal Vector *

+ Quadric Surface *

+ Symplectic Group *

+ Lorentz Group *

+ Lorentz Transformations *

+ Special *

+ Special Unitary Group *

+ Quaternion Algebra *

+ Skew Hermitian *

+ Spin Homomorphism *

+ Orthogonal Representation *

+ Spin Group *

+ Longitude *

+ Maschke's Theorem *

+ One Parameter Group *

+ Gaussian Integers *

+ Bracket *

+ Jacobi Identity *

+ Lie Algebra *

+ Irreducible Character *

+ Complex Algebraic Group *

+ Exceptional Groups *

+ Lie Type *

+ Sporadic Group *

+ Matrix Representation *

+ Trivial Representation *

+ Group Character *

+ Mathieu Group *

+ Monster Group *

+ Regular Representation *

+ Proper Divisor *

+ Compact Group *

+ Noncommutative Ring *

+ Leading Coefficient *

+ Monic *

+ Total Degree *

+ Homogeneous Polynomial *

+ Subring

+ Ring Homomorphism *

+ Hilbert's Nullstellensatz *

+ Zero *

+ Common Zeros *

+ Algebraic Variety *

+ Bezout Bound *

+ Riemann Surface *

+ Plane Algebraic Curve *

+ Cyclotomic Polynomial *

+ Branched Covering *

+ Unbranched Covering *

+ Branch Points *

+ Size Function *

+ Euclidean Domain *

+ Principal Ideal Domain *

+ Irreducible Factorization *

+ Unique Factorization Domain *

+ Gauss's Lemma *

+ Sieve *

+ Sieve Of Eratosthenes *

+ Eisenstein Criterion *

+ Gaussian Prime *

+ Algebraic Integer *

+ Quadratic Number Field *

+ Invertible Integer Matrix *

+ Elementary Integer Matrix *

+ Complete Set *

+ Cusp *

+ Irreducible Representation *

+ Quotient Ring *

+ Ascending Chain Condition *

+ Noetherian Ring *

+ Hilbert Basis Theorem *

+ Rational Canonical Form *

+ Extension Field *

+ Algebraic Number Field *

+ Finite Field *

+ Function Field *

+ Finite Extension *

+ Primitive Element *

+ Algebraically Closed *

+ Symmetric Polynomial *

+ Sylvester's Inertia Law *

+ Sylvester's Signature *

+ Projective Group *

+ Orbit Sum *

+ Elementary Symmetric Functions *

+ Symmetric Functions Theorem *

+ Discriminant *

+ Tschirnhausen Transformation *

+ Splitting Field *

+ Splitting Theorem *

+ Galois Group *

+ Galois Extension Field *

+ Fixed Field *

+ Fixed Field Theorem *

+ Luroth's Theorem *

+ Intermediate Field *

+ Crystallographic Point Group *

+ Free Semigroup *

+ Resolvent Cubic *

+ Cyclotomic Field *

+ Kronecker Weber Theorem *

+ Kummer Extension *

+ Linear Operator *

+ Invertible Operator *

+ Singular Operator *

+ Generalized Eigenvector *

+ Schur's Lemma *

* video needed

click here to zoom in