Conjugate (group theory)
Revision as of 17:43, 20 May 2008 by Boy Soprano II (talk | contribs) (New page: Let <math>G</math> be a group operating on a set <math>S</math>. An element <math>y\in S</math> ''conjugate'' to an element <math>x\in S</math> if there exists an element <math>\a...)
Let 
be a group operating on a set 
. An element 
conjugate to an element 
if there exists an element 
such that 
. The relation of conjugacy is an equivalence relation. The set of conjugates of an element 
of is called the orbit of .
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