Conjugation
Nitin John RajandJimin Khimcontributed
This wiki is incomplete.
Conjugation on a group \(G\) by an element \(x \in G\) is the homomorphism defined by
\[\phi\ x\ g = x\ g\ x^{-1}.\]
\(\phi\ x\) is clearly a homomorphism:
\[\phi\ x\ (g\ h) = x\ g\ h\ x^{-1} = x\ g\ x^{-1}\ x\ h\ x^{-1} = (\phi\ x\ g)\ (\phi\ x\ h).\]
Cite as:接合。Brilliant.org. Retrievedfrom//www.parkandroid.com/wiki/conjugation/