Let be an HNN extension with .

Let such that .

Then if and only if .

It is obvious that if then since .

I tried to prove the opposite direction but I have no idea where to use in the proof.

Any hint??

Thank you.

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- Feb 4th 2013, 03:14 AMdeniselim17conjugacy in HNN extensions
Let be an HNN extension with .

Let such that .

Then if and only if .

It is obvious that if then since .

I tried to prove the opposite direction but I have no idea where to use in the proof.

Any hint??

Thank you.