I have been often referred by people that adsense ads are not allowed on website with domain adsense. Google scan my site daily it also gives me optimization tips for my site. There is nothing mentioned in tos about adsense domain. I have seen many site with adsense domain and trust me they are getting thier checks from google on time. I am trying to figure out what to do

As far as I know it's ok to run ads on a site about AdSense with adsense in the domain. Maybe I missed it, but I've never seen anything against it.

No, you cannot, except you get the permission from Google.
Google claims that the word "Adsense" is the trademark of them, and cannot be used without their consent.

That's interesting Swinger. Now that I think of it most blogs about AdSense that I know don't use the word AdSense in the domain.

There is no problem in using it iam too using same [ adsensekw l] and many of my friendz uses the same and gets cheq there is no problem in it