Free Group
The most general group generated by a set S is the group freely generated by S. Every group generated by S is isomorphic to a quotient of this group, a feature which is utilized in the expression of a group's presentation.
Read more about this topic: Generating Set Of A Group
Famous quotes containing the words free and/or group:
“Can a free people restrain crime without sacrificing fundamental liberties and a heritage of compassion?... Let us show that we can temper together those opposite elements of liberty and restraint into one consistent whole. Let us set an example for the world of a law-abiding America glorying in its freedom as well as its respect for law.”
—Gerald R. Ford (b. 1913)
“Stripped of ethical rationalizations and philosophical pretensions, a crime is anything that a group in power chooses to prohibit.”
—Freda Adler (b. 1934)