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 effect of a real revolution is perhaps that it sweeps away those who do not know how to wish, and brings to the front men with insatiable appetites for action, power and all that the world has to offer.”
—Eric Hoffer (19021983)
“There are four classes of idols which beset mens minds. To these for distinctions sake I have assigned namescalling the first class Idols of the Tribe; the second, Idols of the Cave; the third, Idols of the Market-Place; the fourth, Idols of the Theatre.”
—Francis Bacon (15611626)
“As in political revolutions, so in paradigm choicethere 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)