HI there i have the HomeGroup Icon on my desktop and restarting doesn't help to remove this Icon if anyone could help me remove this icon without disabling HomeGroup would be awesome.
If that doesn't help, then see if temporarily disabling your network connection may have it go away (possibly after a restart), then enable your network again.
Right clicking on the desktop and doing a refresh works for clearing the Homegroup icon. My netbook was giving me a problem with the icon appearing about half of the time on a reboot or start. Shawn's registry tweak from this blog seems to have fixed it for me. I downloaded the "Remove_HomeGroup_Desktop_Icon.reg" file and merged it as instructed and haven't had the icon to appear since.