Word (group Theory)
In group theory, a word is any written product of group elements and their inverses. For example, if x, y and z are elements of a group G, then xy, z-1xzz and y-1zxx-1yz-1 are words in the set {x, y, z}. Words play an important role in the theory of free groups and presentations, and are central objects of study in combinatorial group theory.
Read more about Word (group Theory): Definition, Notation, Words and Presentations, Reduced Words, Normal Forms, Operations On Words, The Word Problem
Famous quotes containing the word word:
“The party of God and the party of Literature have more in common than either will admit; their texts may conflict, but their bigotries coincide. Both insist on being the sole custodians of the true word and its only interpreters.”
—Frederic Raphael (b. 1931)