If F is inner automorphism , what does this mean ?

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If F is an inner automorphism of a group G, it can be expressed as F(x) = g x g^(-1) for a fixed element g in G and for all elements x in G. This indicates that F performs conjugation of x by g, confirming the definition of inner automorphisms in group theory. The discussion references Wikipedia as a source for this confirmation, establishing the correctness of this interpretation.

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hi
if F is inner automorphism , what does this mean ?

I think that if
F : G to G
then
we can write F(x) as
F(x) = g x g^(-1)
for some fixed g in G and all x in G

that means that F moves X to the conjgation x by g


is this right ?
 
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Yes, I confirmed this on wikipedia.
 
algebrat said:
Yes, I confirmed this on wikipedia.

thank you very much :)
 

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