Group Theory - Main Classes of Groups

Main Classes of Groups

The range of groups being considered has gradually expanded from finite permutation groups and special examples of matrix groups to abstract groups that may be specified through a presentation by generators and relations.

Read more about this topic:  Group Theory

Famous quotes containing the words main, classes and/or groups:

    Women are taught that their main goal in life is to serve others—first men, and later, children. This prescription leads to enormous problems, for it is supposed to be carried out as if women did not have needs of their own, as if one could serve others without simultaneously attending to one’s own interests and desires. Carried to its “perfection,” it produces the martyr syndrome or the smothering wife and mother.
    Jean Baker Miller (20th century)

    I have no doubt but that the misery of the lower classes will be found to abate whenever the Government assumes a freer aspect and the laws favor a subdivision of Property.
    James Madison (1751–1836)

    Writers and politicians are natural rivals. Both groups try to make the world in their own images; they fight for the same territory.
    Salman Rushdie (b. 1947)