Example image of eyePlorer eyePlorer map for 'Abelian group': Commutativity Group (mathematics) Integer Niels Henrik Abel Module (mathematics) Vector space Binary operation Element (mathematics) Set (mathematics) Cayley table Finite group Multiplication table If and only if Symmetric matrix Addition Additive identity Additive inverse Cyclic group Modular arithmetic Ring theory Commutative ring Multiplicative group Unit (ring theory) Real number Normal subgroup Quotient group Subgroup Direct sum of groups Matrix (mathematics) Rotation matrix Camille Jordan Galois theory Mathematician Norway Natural number Ring (mathematics) Principal ideal domain Finitely generated abelian group Structure theorem for finitely generated modules over a principal ideal domain Group homomorphism Dimension Rank of an abelian group Cardinal number Linear independence Rational number Automorphism Ferdinand Georg Frobenius Linear algebra Prime number Coprime