Most small \(p\)-groups have an automorphism of order 2
Let \(f(p,n)\) be the number of isomorphism types of \(p\)-groups of order \(p^n\) and \(g(p,n)\) the number of those, whose automorphism group is a \(p\)-group. There is a conjecture that \(g(p,n)/f(p,n)\) goes to \(1\) with \(n\) to \(\infty\). In this paper, the author considers the question that \(p\) goes to \(\infty\) and \(n =6\) or \(7\). The result of the paper is that the limit will be \(1/3\). For the proof, the author uses Lie-ring methods. The reviewer could not see the relation between the title and the contents of the paper.
scientific article; zbMATH DE number 6696923
scientific article