equivalence relation whose equivalence classes are called conjugacy classes. In other words, each conjugacy class is closed under b = g a g − 1 {\displaystyle...
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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...
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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...
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SL2(R) (section Conjugacy classes)
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
Alternating group (section Conjugacy classes)
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
Symmetric group (section Conjugacy classes)
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
Rubik's Cube group (section Conjugacy classes)
parity-sensitive conjugacy classes, whose elements always differ when conjugated with any even element versus any odd element. Commutator Conjugacy class Coset Optimal...
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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