Conway group Co1

In the area of modern algebra known as group theory, the Conway group Co1 is a sporadic simple group of order

   221 · 39 · 54 · 72 · 11 · 13 · 23
= 4157776806543360000
≈ 4×1018.
For general background and history of the Conway sporadic groups, see Conway group.
Algebraic structure → Group theory
Group theory
Basic notions
  • Subgroup
  • Normal subgroup
Group homomorphisms
Finite groups
  • Schur multiplier
Classification of finite simple groups
Modular groups
  • PSL(2, )
  • SL(2, )
Topological and Lie groups
  • Special linear SL(n)
  • Orthogonal O(n)
  • Special orthogonal SO(n)
  • Unitary U(n)
  • Special unitary SU(n)
  • Symplectic Sp(n)
Infinite dimensional Lie group
  • O(∞)
  • SU(∞)
  • Sp(∞)
Algebraic groups
  • Linear algebraic group
  • Reductive group
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.