Conjugacy class
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7/7/2026, 8:51:37 AM · Ancient Tree
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Let $G$ be a [[Group|group]]. The conjugacy class of an element $a\in G$ is the set of elements [[Conjugate elements|conjugate]] to $a$:1
Let $G$ be a [[Group|group]]. The conjugacy class of an element $a\in G$ is the set of all elements [[Conjugate elements|conjugate]] to $a$:2
$$\{gag^{-1}:g\in G\}$$Revision 243
7/7/2026, 8:51:26 AM · Ancient Tree
Concept edited
Compare with revision 1103 changed lines
1
A conjugacy class is...1
Let $G$ be a [[Group|group]]. The conjugacy class of an element $a\in G$ is the set of elements [[Conjugate elements|conjugate]] to $a$:2
$$\{gag^{-1}:g\in G\}$$Revision 110
6/27/2026, 8:25:22 AM · Ancient Tree
Concept created
A conjugacy class is...