# Finite Simple Groups

### Some articles on finite simple groups, simple groups, groups, simple, finite, group, finite simple group:

Classification Of Finite Simple Groups - History of The Proof - Timeline of The Proof
... Publication date 1832 Galois introduces normal subgroups and finds the simple groups An (n ≥ 5) and PSL2(Fp) (p ≥ 5) 1854 Cayley defines abstract groups 1861 Mathieu describes the first two Mathieu groups M11, M12. 1870 Jordan lists some simple groups the alternating and projective special linear ones, and emphasizes the importance of the simple groups ... theorems 1873 Mathieu introduces three more Mathieu groups M22, M23, M24 ...
Simple Past
... The simple past or past simple, sometimes called the preterite, is the basic form of the past tense in Modern English ... The term "simple" is used to distinguish the syntactical construction whose basic form uses the plain past tense alone, from other past tense constructions which use auxiliaries in combination with ... Regular verbs form the simple past in -ed however there are a few hundred irregular verbs with different forms ...
Group Of Lie Type - Relations With Finite Simple Groups
... Finite groups of Lie type were among the first groups to be considered in mathematics, after cyclic, symmetric and alternating groups, with the projective ... The systematic exploration of finite groups of Lie type started with Camille Jordan's theorem that the projective special linear group PSL(2, q) is simple for q ≠ 2, 3 ... This theorem generalizes to projective groups of higher dimensions and gives an important infinite family PSL(n, q) of finite simple groups ...
List Of Finite Simple Groups
... In mathematics, the classification of finite simple groups states that every finite simple group is cyclic, or alternating, or in one of 16 families of groups of ... The list below gives all finite simple groups, together with their order, the size of the Schur multiplier, the size of the outer automorphism group, usually ... In removing duplicates it is useful to note that finite simple groups are determined by their orders, except that the group Bn(q) has the same order as Cn(q) for q odd, n > 2 and the groups A8 = A3(2 ...

### Famous quotes containing the words groups, finite and/or simple:

Belonging to a group can provide the child with a variety of resources that an individual friendship often cannot—a sense of collective participation, experience with organizational roles, and group support in the enterprise of growing up. Groups also pose for the child some of the most acute problems of social life—of inclusion and exclusion, conformity and independence.
Zick Rubin (20th century)

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 (1623–1662)

All propaganda or popularization involves a putting of the complex into the simple, but such a move is instantly deconstructive. For if the complex can be put into the simple, then it cannot be as complex as it seemed in the first place; and if the simple can be an adequate medium of such complexity, then it cannot after all be as simple as all that.
Terry Eagleton (b. 1943)