Morava K-theories of \(p\)-groups with cyclic maximal subgroups and other related groups
Let \(K(n) *(\cdot)\) denote the \(n\)-th Morava \(K\)-theory at an odd prime, \(p\), and let \(M_{p^{m+2}}\) denote the modular group \(M_{p^{m+2}} = \langle a, b \mid a^{p^{m+1}} = b^p =1\), \(bab^{-1} = a^{p^{m+1}} \rangle\). The paper under review describes the algebras \(K(n)*(BM_{p^{m+2}})\) and \(K(n)* (BG)\) for \(G\) a finite group with Sylow \(p\)-subgroup isomorphic to \(Mp^{m+2}\). Combined with previous results this completes the description of the Morava \(K\)-theory of classifying spaces of groups whose Sylow \(p\)-subgroups have cyclic maximal subgroups.
scientific article; zbMATH DE number 1785684