A characterization of permutation modules extending a theorem of Weiss
Summary: Let \(G\) be a finite \(p\)-group with normal subgroup \(N\). A celebrated theorem of A. Weiss gives a sufficient condition for a \(\mathbb{Z}_pG\)-lattice to be a permutation module, looking only at its restriction to \(N\) and its \(N\)-fixed points. In case \(N\) has order \(p\), we extend the condition of Weiss to a characterization.
scientific article; zbMATH DE number 7258093