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

**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 ...

... 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 ...

**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**...

**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)