• Thumbnail for Conjugacy class
    equivalence relation whose equivalence classes are called conjugacy classes. In other words, each conjugacy class is closed under b = g a g − 1 {\displaystyle...
    17 KB (2,956 words) - 19:24, 30 April 2024
  • In abstract algebra, a conjugacy class sum, or simply class sum, is a function defined for each conjugacy class of a finite group G as the sum of the elements...
    2 KB (327 words) - 12:11, 13 August 2023
  • 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...
    2 KB (219 words) - 03:01, 13 May 2024
  • Thumbnail for Dihedral group
    an even polygon there are two sets of axes, each corresponding to a conjugacy class: those that pass through two vertices and those that pass through two...
    27 KB (3,380 words) - 17:32, 4 August 2024
  • a map of arrows. By definition, an element is central whenever its conjugacy class contains only the element itself; i.e. Cl(g) = {g}. The center is the...
    12 KB (1,184 words) - 20:06, 14 May 2024
  • Thumbnail for SL2(R)
    two conjugacy classes for each trace (clockwise and counterclockwise rotations), for absolute value of the trace equal to 2 there are three conjugacy classes...
    21 KB (2,988 words) - 18:22, 23 July 2024
  • Thumbnail for Alternating group
    radians. Vertices in the same polyhedron are in the same conjugacy class. Since the conjugacy class equation for A5 is 1 + 12 + 12 + 15 + 20 = 60, we obtain...
    17 KB (1,538 words) - 09:24, 20 August 2023
  • Thumbnail for Rubik's Cube group
    parity-sensitive conjugacy classes, whose elements always differ when conjugated with any even element versus any odd element. Commutator Conjugacy class Coset Optimal...
    14 KB (2,044 words) - 05:11, 6 July 2024
  • Thumbnail for Symmetric group
    finite symmetric groups: their applications, their elements, their conjugacy classes, a finite presentation, their subgroups, their automorphism groups...
    46 KB (6,130 words) - 06:34, 24 May 2024
  • conjugacy classes of group elements. The entries consist of characters, the traces of the matrices representing group elements of the column's class in...
    23 KB (3,536 words) - 17:19, 27 June 2024