This is an equivalence relation whose equivalence classes are called conjugacy classes. The Kiefer-Wolfowitz equivalence theorem is related with the Legendre-Fenchel conjugacy for convex functions. The number of conjugacy classes and irreducible representations is 6. Clearly, topological conjugacy is preserved under iteration, as . See Topological conjugacy for more detail about the relationship between "f" and "g". The monster has at least 44 conjugacy classes of maximal subgroups. Vertices in the same polyhedron are in the same conjugacy class. Notice that different elements of the same conjugacy class yield the same determinant. It can be described as centralizer of any element from the conjugacy class 2"A". The remaining primes all lie in the conjugacy classes formula 6 or formula 7. A cyclic group of order "n" therefore has "n" conjugacy classes. Its conjugacy classes are labeled by partitions of "n". Let formula 21 denote the conjugacy class of "H". The study of conjugacy classes figures prominently in the classical theory of division rings. Any matrix in this conjugacy class has trace 0.