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.

Printable View

- Feb 4th 2013, 04:14 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.