Local Analysis - Group Theory

Group Theory

In group theory, local analysis was started by the Sylow theorems, which contain significant information about the structure of a finite group G for each prime number p dividing the order of G. This area of study was enormously developed in the quest for the classification of finite simple groups, starting with the Feit–Thompson theorem that groups of odd order are solvable.

Read more about this topic:  Local Analysis

Famous quotes containing the words group and/or theory:

    The poet who speaks out of the deepest instincts of man will be heard. The poet who creates a myth beyond the power of man to realize is gagged at the peril of the group that binds him. He is the true revolutionary: he builds a new world.
    Babette Deutsch (1895–1982)

    Thus the theory of description matters most.
    It is the theory of the word for those
    For whom the word is the making of the world,
    The buzzing world and lisping firmament.
    Wallace Stevens (1879–1955)