30:00.0 Network controller: Broadcom Corporation BCM4312 802.11a/b/g (rev 02)
This is the wireless adapter. I'll have a look and post back.
A Google search search turned up this:
There is a 32 bit and 64 bit driver. Which are you running?
In the notes for this driver, ...
Some distros (Ubuntu and Fedora at the least) already have a version of
this driver in their repositories precompiled, tested and ready to go.
You just use the package manager to install the proper package. If
its available for your distro, this is usually an easier solution. See
the end of this document for further discussion.
The driver is already part of Fedora.
Further down the notes,
So install it, then you need to use modprobe to load it, and then configure the adapter.