hi Jam,:)
'BIALY JELEN' is a potassium soap, it's free from perfumes+artificial colouring stuff, that's why it is said to be good for allergic.
It's exactly the same what gizzy wrote: marseille soap
I've never tried this kind of soaps. I use stuff which are soap free (my skin condition improved since using them).
I'd recommend to try with soap free+SLS free gels/soaps and shampoos.
Take care,
alula