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classification theorem of finite simple groups (idea)
See all of classification theorem of finite simple groups
, no other writeups in this node.
(
idea
)
by
neil
Fri Jun 30 2000 at 11:15:02
Every
finite
simple group
falls into one of five categories:
Cyclic group
s of
prime
order
.
Alternating group
s A_
n
,
n
> 4.
Chevalley group
s.
Twisted Chevalley group
s or the
tits group
(these and the Chevally groups are all
Lie-type group
s).
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
page
s in length. The proof was finally completed in the early- to mid-
1980s
.
monster simple group
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