classification theorem of finite simple groups (idea) by neil

Every finite simple group falls into one of five categories:

Cyclic groups of prime order.
Alternating groups A_n, n > 4.
Chevalley groups.
Twisted Chevalley groups or the tits group (these and the Chevally groups are all Lie-type groups).
The sporadic simple groups; these are the leftovers. They number 26. The most complicated is the monster simple group.

This theorem is also known as the `enormous theorem'; its proof is spread throughout the mathematics literature and is estimated to be over 15,000 pages in length. The proof was finally completed in the early- to mid-1980s.

monster simple group	Best Math Books Ever Written	simple group	Fundamental theorem of finite abelian groups
Blue Man Group	representations of groups	alternating group	cyclic group
Solvability	general linear group	algebraic geometry	Dihydrogen Monoxide
lie group	quantum non-locality	Generators and relations for groups	Euler's theorem
integers modulo n	dihedral group	Group Home	impose a new skewed order on the old
Classification	Bob Dylan	theorem

classification theorem of finite simple groups (idea)

Login
Password