Automorphisms of regular wreath product \(p\)-groups.
Summary: We present a useful new characterization of the automorphisms of the regular wreath product group \(P\) of a finite cyclic \(p\)-group by a finite cyclic \(p\)-group, for any prime \(p\), and we discuss an application. We also present a short new proof, based on representation theory, for determining the order of the automorphism group \(\Aut(P)\), where \(P\) is the regular wreath product of a finite cyclic \(p\)-group by an arbitrary finite \(p\)-group.
scientific article; zbMATH DE number 5695200