Operations On Words
The product of two words is obtained by concatenation:
Even if the two words are reduced, the product may not be.
The inverse of a word is obtained by inverting each generator, and switching the order of the elements:
The product of a word with its inverse can be reduced to the empty word:
You can move a generator from the beginning to the end of a word by conjugation:
Read more about this topic: Word (group Theory)
Famous quotes containing the words operations and/or words:
“Plot, rules, nor even poetry, are not half so great beauties in tragedy or comedy as a just imitation of nature, of character, of the passions and their operations in diversified situations.”
—Horace Walpole (1717–1797)
“All our words from loose using have lost their edge.”
—Ernest Hemingway (1899–1961)