Fischer Group

Fischer Group

For more detailed articles on the individual Fischer groups, see Fischer group Fi22, Fischer group Fi23, Fischer group Fi24.

Group theory
Basic notions Subgroup Normal subgroup Quotient group Group homomorphism (Semi-)direct product group homomorphisms kernel image direct sum wreath product simple finite infinite continuous multiplicative additive cyclic abelian dihedral nilpotent solvable List of group theory topics Glossary of group theory
Finite groups Classification of finite simple groups Cyclic group Z_n Symmetric group S_n Dihedral group D_n Alternating group A_n Mathieu groups M₁₁ M₁₂ M₂₂ M₂₃ M₂₄ Conway groups Co₁ Co₂ Co₃ Janko groups J₁ J₂ J₃ J₄ Fischer groups F₂₂ F₂₃ F₂₄ Baby Monster group B Monster group M
Discrete groups and lattices Integers Z Lattice Modular groups PSL(2,Z) SL(2,Z)
Topological and Lie groups Solenoid Circle General linear GL(n) Special linear SL(n) Orthogonal O(n) Special orthogonal SO(n) Unitary U(n) Special unitary SU(n) Symplectic Sp(n) G₂ F₄ E₆ E₇ E₈ Lorentz Poincaré Conformal Diffeomorphism Loop Infinite dimensional Lie group O(∞) SU(∞) Sp(∞)
Algebraic groups Elliptic curve Linear algebraic group Abelian variety

In mathematics, the Fischer groups are the three sporadic simple groups Fi₂₂, Fi₂₃,Fi₂₄' introduced by Bernd Fischer (1971, 1976).

Read more about Fischer Group: 3-transposition Groups, Orders, Notation

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