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:
““Mother” is the first word that occurs to politicians and columnists and popes when they raise the question, “Why isn’t life turning out the way we want it?””
—Mary Kay Blakely (20th century)