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
    • Zn
  • Symmetric group
    • Sn
  • Dihedral group
    • Dn
  • Alternating group
    • An
  • 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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