The Steiner System S(5, 8, 24)
Particularly remarkable is the Steiner system S(5, 8, 24), also known as the Witt design or Witt geometry. It was first described by Carmichael (1931) and rediscovered by Witt (1938). This system is connected with many of the sporadic simple groups and with the exceptional 24-dimensional lattice known as the Leech lattice.
The automorphism group of S(5, 8, 24) is the Mathieu group M24, and in that context the design is denoted W24 ("W" for "Witt")
Read more about this topic: Steiner System
Famous quotes containing the words steiner and/or system:
“The variables are surprisingly few.... One can whip or be whipped; one can eat excrement or quaff urine; mouth and private part can be meet in this or that commerce. After which there is the gray of morning and the sour knowledge that things have remained fairly generally the same since man first met goat and woman.”
—George Steiner (b. 1929)
“While the system of holding people in hostage is as old as the oldest war, a fresher note is introduced when a tyrannic state is at war with its own subjects and may hold any citizen in hostage with no law to restrain it.”
—Vladimir Nabokov (1899–1977)