conjugacy class

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• Conjugacy class — In mathematics, especially group theory, the elements of any group may be partitioned into conjugacy classes; members of the same conjugacy class share many properties, and study of conjugacy classes of non abelian groups reveals many important… …   Wikipedia

• Conjugacy class sum — Let G be a finite group with conjugacy class C. Then the class sum is an element of the center of the group algebra . This algebra related article is a stub. Yo …   Wikipedia

• Infinite conjugacy class property — In mathematics, a group is said to have the infinite conjugacy class property, or to be an icc group, if the conjugacy class of every group element but the identity is infinite. In abelian groups, every conjugacy class consists of only one… …   Wikipedia

• Class automorphism — In mathematics, in the realm of group theory, a class automorphism is an automorphism of a group that sends each element to within its conjugacy class. The class automorphisms form a subgroup of the automorphism group. Some facts: Every inner… …   Wikipedia

• Class function — In mathematics, especially in the fields of group theory and representation theory of groups, a class function is a function f on a group G, such that f is constant on the conjugacy classes of G. In other words, f is invariant under the… …   Wikipedia

• Class number — In mathematics, class number may refer to Class number (group theory), the number of conjugacy classes of a group The size of the ideal class group of a number ring The number of equivalence classes of binary quadratic forms of a given… …   Wikipedia

• Topological conjugacy — In mathematics, two functions are said to be topologically conjugate to one another if there exists a homeomorphism that will conjugate the one into the other. Topological conjugacy is important in the study of iterated functions and more… …   Wikipedia

• Equivalence class — This article is about equivalency in mathematics; for equivalency in music see equivalence class (music). In mathematics, given a set X and an equivalence relation on X, the equivalence class of an element a in X is the subset of all elements in… …   Wikipedia

• Mathieu group — Group theory Group theory …   Wikipedia

• Character theory — This article refers to the use of the term character theory in mathematics. For the media studies definition, see Character theory (Media). In mathematics, more specifically in group theory, the character of a group representation is a function… …   Wikipedia

• Character table — Main article: Character theory In group theory, a character table is a two dimensional table whose rows correspond to irreducible group representations, and whose columns correspond to classes of group elements. The entries consist of characters …   Wikipedia