KnowraConjugacy classLinked fromLinked fromThe 15 pages that link to Conjugacy class, each with the reason it gives.All 15Broader topic 2Related 13Point groupRelated: Symmetry operations in a point group are often classified into conjugacy classes.Symmetric groupRelated: In Sₙ, conjugacy classes are determined by cycle type.Symmetry groupRelated: Conjugate symmetries represent the same kind of operation in different orientations.Character theoryRelated: Characters are constant on conjugacy classes, reducing the data needed to describe them.Sylow theoremsRelated: Conjugation also acts on subgroups, and Sylow subgroups form one orbit under that action.Burnside's lemmaRelated: Conjugate elements fix equally many points, so sums can be grouped by classes.Fourier analysis on finite groupsRelated: Class functions are constant on these sets and admit a character-based decomposition.Monster groupRelated: The Monster's 194 conjugacy classes organize its elements and encode much of its character theory.CentralizerRelated: An element's centralizer is the stabilizer governing the size of its conjugacy class.Selberg trace formulaRelated: The geometric sum groups together elements that encode equivalent closed-geodesic data.Wedderburn's little theoremRelated: Counting conjugacy classes in the multiplicative group is central to a standard proof.Brauer–Suzuki theoremRelated: Conjugacy controls the distribution of involutions used in the proof.Frattini's argumentRelated: Sylow conjugacy lets an arbitrary conjugate be matched by an element of the chosen normalizer.