Example image of eyePlorer eyePlorer map for 'Circle group': Blackboard bold Complex number Group (mathematics) Mathematics Unit circle Subgroup Abelian group Direct product Torus Lie group Pontryagin duality Subspace topology Continuous function (topology) Topological group Closed set Analytic function Manifold One-parameter group Compact space Connected space Up to Quotient group Slash (punctuation) Unitary group Unitary matrix Exponential function Group homomorphism Euler's formula Injective function Surjective function Integer Kernel (algebra) Determinant Isomorphism theorem Matrix (mathematics) Orthogonal matrix Orthogonal group Rotational invariance Spontaneous symmetry breaking Symmetry Cyclic group Root of unity Group representation Schur's lemma Simple module Complex conjugate representation Character (mathematics) Character group Real number Trivial representation