# 0 Let (f.) be a group, show that (ly) G where Gly); = Lael | ag=...

###### Question:

0 Let (f.) be a group, show that (ly) G where Gly); = Lael | ag= ga & gely is the center of G. (So, show that cly)< ; & cgjat. ) @ let y be a group, gel & Haf. Prove that Ks4 where us Ki Cig) := {acly I ag = gay is the centralizer of g inily, and K: N (H): = hatly I aH=Hay in the normalizen of Henly.

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