Wild categories of periodic modules
Let K be a field of characteristic \(p>0\) and let G be an elementary abelian group of order \(p^ 2\). If \(p>2\), the result of \textit{A. Heller} and \textit{I. Reiner} [Ill. J. Math. 5, 314-323 (1961; Zbl 0111.031)] asserts that the category of left KG-modules is wild. Basically this means that there is no possibility of classifying the indecomposable objects in the category. Now assume that \(p>7\) and that \(\zeta\) is the Bockstein of a nonzero element of \(H^ 1(G,F_ p)\). If \(C_{\zeta}\) is the full subcategory of KG-modules M with \(\zeta \cdot Ext^*_{KG}(M,M)=0\), then it is shown here that \(C_{\zeta}\) is also wild.
scientific article; zbMATH DE number 4085883