Finite Simple Groups
The finite simple groups have been classified into a number of series as well as 26 sporadic groups. Of these, 20 are subgroups or subquotients of the monster group, referred to as the "Happy Family", while 6 are not, and are referred to as "pariahs".
Several of the sporadic groups are related to the Leech lattice, most notably the Conway group Co1, which is the automorphism group of the Leech lattice, quotiented out by its center.
Read more about this topic: Exceptional Object
Famous quotes containing the words finite, simple and/or groups:
“The finite is annihilated in the presence of the infinite, and becomes a pure nothing. So our spirit before God, so our justice before divine justice.”
—Blaise Pascal (16231662)
“The prostitute is the scapegoat for everyones sins, and few people care whether she is justly treated or not. Good people have spent thousands of pounds in efforts to reform her, poets have written about her, essayists and orators have made her the subject of some of their most striking rhetoric; perhaps no class of people has been so much abused, and alternatively sentimentalized over as prostitutes have been but one thing they have never yet had, and that is simple legal justice.”
—Alison Neilans. Justice for the ProstituteLady Astors Bill, Equal Rights (September 19, 1925)
“And seniors grow tomorrow
From the juniors today,
And even swimming groups can fade,
Games mistresses turn grey.”
—Philip Larkin (19221986)