If your contract requires the employer to give you 1 months notice then that is what they have to do, unless dismissal is for gross misconduct (which does not apply with redundancy).
If they fail to pay it talk to ACAS about taking them to an Employment Tribunal for unpaid wages, or visit your local CAB.
Incidentally, if you are not working out the notice period it is not paid as wages. It is compensation for breach of the employment contract by the employer and is paid without any tax or national insurance being deducted.