Let G be a group and let A = G. Show that the maps defined by do not satisfy the axioms of a left group action of G on itself.

I found the opposite. Here is what I did.

Let .

What is wrong?

Correction: It says do satisfy the axioms.

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- Oct 8th 2011, 09:18 AM #1

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## g\dot a=ag^{-1}

Let G be a group and let A = G. Show that the maps defined by do not satisfy the axioms of a left group action of G on itself.

I found the opposite. Here is what I did.

Let .

What is wrong?

Correction: It says do satisfy the axioms.