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

Famous quotes containing the words fischer and/or group:

“Man, became man through work, who stepped out of the animal kingdom as transformer of the natural into the artificial, who became therefore the magician, man the creator of social reality, will always stay the great magician, will always be Prometheus bringing fire from heaven to earth, will always be Orpheus enthralling nature with his music. Not until humanity itself dies will art die.”
—Ernst Fischer (1899–1972)

“Even in harmonious families there is this double life: the group life, which is the one we can observe in our neighbour’s household, and, underneath, another—secret and passionate and intense—which is the real life that stamps the faces and gives character to the voices of our friends. Always in his mind each member of these social units is escaping, running away, trying to break the net which circumstances and his own affections have woven about him.”
—Willa Cather (1873–1947)

Related Subjects

Fischer Groups

Related Phrases

Group Theory

Related Words

Finite