wifi no longer works with ios V5.1 on ipad 1 3G
Had crashes in ipad safari about every 5 minutes with 5.01, so was hoping that 5.1 would fix that.
Did update right away, but now wifi no longer works at all (so this actually *did'* fixed the crashes in Safari but not in the way I was expecting)
ipad1 3G says "wifi connected", but internet does no longer works

Mobile data works, but wifi totally broken.
- turning on/off does not help
- whole reset doesn't help
- network settings reset doesn't help
- dfu restore mode does not help (!)
- wifi neither works on freshly initialised device, nor after restore
- playing with various configuration settings does not help
So here is a little WARNING:
- Do not update ipad1 to v5.1, as long as you do not know for sure in advance how to deal with these wifi problems, in case you experience them too.
- Research some version downgrade instructions for yourself, BEFORE updating (because you need so save some hash values before. You cannot downgrade any more, if you don't save those hash values).
Unfortunately I found this out after update, that I missed these steps
I upgraded my iphone 4s before and everyting was fine there with wifi, but not on ipad 1.
So better just wait a few days before turning your ipad1 into an expensive offline picture frame.
little update: the black header title shows the wifi icon after about a minute, but wifi settings page looks like it can't connect to wifi,keeps trying to connect wifi without success after update, keeps showing the "please wait" circle right next to the wifi line in settings. But iphone4s and laptop will connect to same wifi without problems.