Generating numbers for wreath products
For any group \(G\), \(d(G)\) denotes the minimal number of generators. For groups \(A\), \(B\), \(A\wr B\) denotes the wreath product of \(A\) by \(B\). The author proves the following Theorem: For every positive integer \(m\) there exists a group \(A\) with \(d(A)=m\) and a cyclic group \(B\) such that \(d(A\wr B)=2\).
scientific article; zbMATH DE number 763294
scientific article