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:
“It is indeed very possible, that the Persons we laugh at may in the main of their Characters be much wiser Men than our selves; but if they would have us laugh at them, they must fall short of us in those Respects which stir up this Passion.”
—Joseph Addison (16721719)
“There are two classes of men called poets. The one cultivates life, the other art,... one satisfies hunger, the other gratifies the palate.”
—Henry David Thoreau (18171862)
“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)