There need to be a bit more info than a Broadcom WIFI chipset, Broadcom uses softMAC, which makes current fullMAC drivers useless for it, and thus at this stage we need to turn towards drivers at varius development stages. But since it's scarse with which Broadcom chipsets has been seen working with which drivers, we need to know what chipset it's based on.
I havn't seen anyone mentioning what hardware they've found on your type of notebook, so you need to investigate a bit.
In a command-prompt issue this command look for the part which says anything with wireless like this
once we are able to see these type of info from your notebook, it will make it easier to destinguish which chipset is in use, and with that info turn you toward the correct driver.
0000:02:02.0 Network controller: AIRONET Wireless Communications Cisco Aironet Wireless 802.11b
Subsystem: AIRONET Wireless Communications: Unknown device 5000
Control: I/O+ Mem+ BusMaster+ SpecCycle+ MemWINV+ VGASnoop- ParErr- Stepping- SERR+ FastB2B+
Status: Cap+ 66MHz- UDF- FastB2B+ ParErr- DEVSEL=fast >TAbort- <TAbort- <MAbort- >SERR- <PERR-
Latency: 64 (1000ns min, 1000ns max), Cache Line Size: 0x08 (32 bytes)
Interrupt: pin A routed to IRQ 11
Region 0: I/O ports at 8000 [size=256]
Region 1: Memory at d0200000 (32-bit, non-prefetchable) [size=16K]
Region 2: Memory at d0400000 (32-bit, non-prefetchable) [size=4M]
Expansion ROM at f2000000 [disabled] [size=2M]
Capabilities: <available only to root>
Steven Vaughan has made a few remarks about experimental support for broadcom chipsets of the 43xx family, with the introduction of the Devicescape 8023.11 stack, but at this stage we're unaware of your current chipset.
If everything fails, you can allways turn to ndiswrapper and get the support through usage of the windows NDIS with the binary windows driwers for your card.
In order to give you an idear of the people you're among here, I myself am involved with development of the Madwifi driver, Prism54 softMAC driver and rt2x00 driver, so considder yourself in good hands