Annoying home link in Groups Page

When one is in the group page, a HOME link and a GROUP (name) link appears both pointing to the group home page. It's quite annoying to have 2 links both pointing to the group home page and none pointing to the "home" page (the default page when one logs in) where you see everything.

I checked the page source and the home link does point to the group home page eg. <li id="li-subnav-group-home" class="current">Home

I presume this is automatically created everytime a new group is created. Now, I can't imagine myself changing this code everytime a new group is created.

Could someone please point me to the correct file (php?) and what to add to automate this function or link.

Thanks.

N.B. I already made changes to the group blog options and keyed in the main url in the home option. I was able to update the options to no avail.