Someone once wrote me menacing to sue me because of my nickname which was infringing on some of their "IP" (I kid you not).
I did a quick check and it turns out there is a half dozen brands named something like "riffraff".
For the gnome case, just to stay in topic: http://tmsearch.uspto.gov/bin/showfield?f=toc&state=4809%3Ao...
"GNOME: hosting software for use by others for accessing weather information, for use in monitoring and controlling irrigation systems"
Yes. Edit: so long as you don't use Coca-Cola's design marks
For example, EOS is (1) a model of car (2) a sub-brand of camera (3) an operating system.
Neither Volkswagen nor Canon have shown any interest in smashing the Arista group's use of EOS.
The Gnome / Groupon example is much narrower in market scope but not so close as Phoenix ( BIOS ) versus Phoenix ( database ), which seem to co-exist OK.
Note that the word gnome existed before the first company that used it as a product name came around. Not so with CocaCola. That word came into existence for a product, and it is also the name of the company that produces the product. That makes it a lot harder to successfully argue that using it on, say, an OS would not cause confusion.
If you did launch an OS called CocaCola, they would argue that there would be some confusion in the mind of the reasonable consumer as to whether there was some association with the soft drink manufacturer.
[0] https://en.wikipedia.org/wiki/Apple_Corps_v_Apple_Computer
You could call your store Gnome Bikes, but you can't call it Google Bikes. Google is too famous and too unique.