Conjugacy class
Conjugacy class In mathematics, especially group theory, the ... 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 ... are constant for members of the same conjugacy class are called class functions. Definition ...
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Talk:Conjugacy class
Talk:Conjugacy class Reverting to previous text , as the ...
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Conjugacy class sum
Conjugacy class sum Let G be a finite group with conjugacy class C. Then the class sum
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Talk:Conjugacy class sum
Talk:Conjugacy class sum 2+2
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Infinite conjugacy class property
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 element, so ... only if the group has the infinite conjugacy class property. Examples for icc groups ...
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Representation theory of finite groups
... elements of G belonging to the same conjugacy class have the same character: in other ... 2 divided by the size of the conjugacy class of g, if g and k belong to the same conjugacy class, but zero otherwise. Therefore, for each conjugacy class C i of size m i ... the same for each element of the conjugacy class and so we can just ...
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Conjugation of isometries in Euclidean space
... by a reflected translation vector Thus the conjugacy class within the Euclidean group E(n ... in the translated point, etc. Thus the conjugacy class within the Euclidean group E(n ... about the translated axis, etc. Thus the conjugacy class within the Euclidean group E(3 ... are said to be equal up to conjugacy with respect to affine transformations if there ... group type. If we would just consider conjugacy with respect to isometries, we would ...
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Lorentz group
... celestial sphere) transformed by a Möbius transformation. Conjugacy classes Because the restricted Lorentz group SO ... the Möbius group PSL(2,C), its conjugacy classes also fall into four classes: elliptic ... Lorentz group can be enumerated, up to conjugacy, from which we can list the closed ... of the restricted Lorentz group, up to conjugacy. (See the book by Hall cited below ... subalgebras of course correspond to the four conjugacy classes of elements of the Lorentz ...
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Burnside theorem
... recognizable non-trivial center, or has a conjugacy class of order $p^r$conjugacy class of order $p^r$conjugacy class $g^G$ with representative ... sum $\backslash overline\{C\}$ of the conjugacy class $g^G$ in the ... which case g, the representative of the conjugacy class that we started with, is ...
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Point groups in three dimensions
... See also the similar overview including translations. Conjugacy When comparing the symmetry type of two ... group to that of the second. The conjugacy definition would also allow a mirror image ... see also spherical symmetry groups. Up to conjugacy the set of finite 3D point groups ... meant here as the same up to conjugacy in space. This is stronger than "up ...
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