What are finite simple groups?

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

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 special linear ... 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 some small representations, and ... 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 ...
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 ... Regular verbs form the simple past in -ed however there are a few hundred irregular verbs with different forms ...
Classification Of Finite Simple Groups - History of The Proof - Timeline of The Proof
... 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, the. 1870 Jordan lists some simple groups the alternating and projective special linear ones, and emphasizes the importance of the simple groups. 1873 Mathieu introduces three more Mathieu groups M22, M23, M24 ...

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

    If we can learn ... to look at the ways in which various groups appropriate and use the mass-produced art of our culture ... we may well begin to understand that although the ideological power of contemporary cultural forms is enormous, indeed sometimes even frightening, that power is not yet all-pervasive, totally vigilant, or complete.
    Janice A. Radway (b. 1949)

    All finite things reveal infinitude:
    Theodore Roethke (1908–1963)

    What have Massachusetts and the North sent a few sane representatives to Congress for, of late years?... All their speeches put together and boiled down ... do not match for manly directness and force, and for simple truth, the few casual remarks of crazy John Brown on the floor of the Harper’s Ferry engine-house,—that man whom you are about to hang, to send to the other world, though not to represent you there.
    Henry David Thoreau (1817–1862)