User:Kpsaamy1983/Books/Algebra

Unit 3

 * Set (mathematics)
 * Binary relation
 * Closure (mathematics)
 * Partition of a set
 * Equivalence relation
 * Prime number
 * History of group theory
 * Group (mathematics)
 * Examples of groups
 * List of small groups
 * P-group
 * Symmetric group
 * Cauchy's theorem (group theory)
 * Cyclic group
 * Abelian group
 * Multiplicative group of integers modulo n
 * Non-abelian group
 * Finitely generated group
 * Subgroup
 * Order (group theory)
 * Dihedral group of order 6
 * Alternating group
 * Permutation group
 * Prime power
 * Quotient group
 * Finite group
 * Nilpotent group
 * Center (group theory)
 * Normal subgroup
 * Simple group
 * Lagrange's theorem (group theory)
 * Group action
 * Sylow theorems
 * Classification of finite simple groups
 * Modular arithmetic
 * Finitely generated abelian group
 * Dihedral group
 * Cayley's theorem
 * Homomorphism
 * Group homomorphism
 * Fundamental theorem on homomorphisms
 * Isomorphism theorems
 * Elementary abelian group
 * Ring (mathematics)
 * Boolean ring
 * Commutative ring
 * Division ring
 * Ideal (ring theory)
 * Integral domain
 * Integrally closed domain
 * GCD domain
 * Unique factorization domain
 * Principal ideal domain
 * Euclidean domain
 * Field (mathematics)
 * Finite field
 * Field extension
 * Galois theory
 * Splitting field
 * Characteristic (algebra)
 * Vector space
 * Linear independence
 * Basis (linear algebra)
 * Linear subspace
 * Quotient space (linear algebra)
 * Dimension (vector space)
 * Examples of vector spaces
 * Linear algebra
 * Matrix (mathematics)
 * Linear map
 * Transformation matrix
 * Rank–nullity theorem
 * Fundamental theorem of linear algebra
 * Change of basis
 * Dual space
 * Transpose
 * Trace (linear algebra)
 * Eigenvalues and eigenvectors
 * Characteristic root (disambiguation)
 * Characteristic equation (calculus)
 * Cayley–Hamilton theorem
 * Characteristic polynomial
 * Invariant subspace
 * Canonical form
 * Triangular matrix
 * Jordan normal form
 * Frobenius normal form