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:

    It is not God that is worshipped but the group or authority that claims to speak in His name. Sin becomes disobedience to authority not violation of integrity.
    Sarvepalli, Sir Radhakrishnan (1888–1975)

    The theory seems to be that so long as a man is a failure he is one of God’s chillun, but that as soon as he has any luck he owes it to the Devil.
    —H.L. (Henry Lewis)