On the indices of simple components of twisted group algebras of finite groups over a \(p\)-adic number field (Q1177725)

Let \(F\) be a finite field extension of the \(p\)-adic number field \(Q_ p\), let \(R\) be the ring of integers in \(F\) and let \(P\) be the maximal ideal of \(R\). It is shown that if \(2\not\equiv 0\bmod P\), then the set of indices of simple components of twisted group algebras of finite nilpotent groups of class 2 over \(F\) coincides with the set of all natural numbers.