2. Let H and K be groups, let f be a homomorphism from K into Aut(H) and as usual identify H and K as subgroups of G= H x_f K( x_f denotes product of H and K under f).
Prove that C_K(H)= Ker(f)
ps. C_K(H) is centralizer
keywords: semi direct
This question was asked on May 06, 2010.
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