Template:Groups

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Groups

Group theory Basic notions Subgroup Normal subgroup Quotient group Group homomorphism (semi-)direct product direct sum Discrete groups Classification of finite simple groups Cyclic group Zn Alternating group An Sporadic groups Mathieu group M11..12,M22..24 Conway group Co1..3 Janko group J1..4 Fischer group F22..24 Baby Monster group B Monster group M Continuous groups Lie group General linear group GL(n) Special linear group SL(n) Orthogonal group O(n) Special orthogonal group SO(n) Unitary group U(n) Special unitary group SU(n) Symplectic group Sp(n) E6 E7 E8 F4 G2 SL2 Lorentz group Poincaré group Infinite dimensional groups conformal group diffeomorphism group Quantum group O(∞) SU(∞) Sp(∞)

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