Example image of eyePlorer eyePlorer map for 'Group homomorphism': Function (mathematics) Group (mathematics) Identity element Mathematics Automata Topological group Kernel (algebra) Injective function Normal subgroup Subgroup Image (mathematics) Isomorphism theorem Cyclic group Modular arithmetic Exponential function Real number Surjective function Complex number Euler's formula Exponential field Category theory Class (set theory) Bijection Group isomorphism Automorphism Endomorphism Abelian group Direct sum of modules Endomorphism ring Matrix (mathematics) Ring (mathematics) Abelian category Preadditive category Fundamental theorem on homomorphisms Affine representation Category of abelian groups Category of groups Covering group Induced homomorphism (fundamental group) Kernel (category theory) Lie group homomorphism One-parameter group Orientation character Projective representation Residually finite group Transfer (group theory) Exact sequence Faithful representation Induced homomorphism Isogeny