Isotropy and full splitting pattern of quasilinear p-forms

For a quasilinear p-form defined over a field F of characteristic p>0, we prove that its defect over the field F(a1pn1,…,arpnr) is equal to its defect over the field F(a1p,…,arp), strengthening a result of Hoffmann from 2004. We also compute the full splitting pattern of some families of quasilinear p-forms.