Conway Group
In mathematics, the Conway groups Co1, Co2, and Co3 are the three sporadic groups discovered by John Horton Conway.
The largest of the Conway groups, Co1, of order
- 4,157,776,806,543,360,000,
is obtained as the quotient of Co0 (group of automorphisms of the Leech lattice Λ that fix the origin) by its center, which consists of the scalar matrices ±1. The groups Co2 (of order 42,305,421,312,000) and Co3 (of order 495,766,656,000) consist of the automorphisms of Λ fixing a lattice vector of type 2 and a vector of type 3 respectively. (The type of a vector is half of its square norm, v·v.) As the scalar −1 fixes no non-zero vector, these two groups are isomorphic to subgroups of Co1.
Read more about Conway Group: History, Other Sporadic Groups
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