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:
“The main question raised by the thriller is not what kind of world we live in, or what reality is like, but what it has done to us.”
—Ralph Harper (b. 1915)
“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)
“As in political revolutions, so in paradigm choice—there is no standard higher than the assent of the relevant community. To discover how scientific revolutions are effected, we shall therefore have to examine not only the impact of nature and of logic, but also the techniques of persuasive argumentation effective within the quite special groups that constitute the community of scientists.”
—Thomas S. Kuhn (b. 1922)