Number of Simple Modules
In ordinary representation theory, the number of simple modules k(G) is equal to the number of conjugacy classes of G. In the modular case, the number l(G) of simple modules is equal to the number of conjugacy classes whose elements have order coprime to the relevant prime p, the so-called p-regular classes.
Read more about this topic: Modular Representation Theory
Famous quotes containing the words number of, number and/or simple:
“The genius of democracies is seen not only in the great number of new words introduced but even more in the new ideas they express.”
—Alexis de Tocqueville (1805–1859)
“The quality of moral behaviour varies in inverse ratio to the number of human beings involved.”
—Aldous Huxley (1894–1963)
“Like many rich men, he thought in anecdotes; like many simple women, she thought in terms of biography.”
—Anita Brookner (b. 1938)