The classification of the finite groups whose subgroups of equal order are conjugate.
A finite group \(G\) is a \(B\)-group if the subgroups of \(G\) of equal order are conjugate. The author continues and completes his investigation into \(B\)-groups, giving necessary and sufficient conditions for a finite group to be a \(B\)-group. These conditions come in various guises, dependent on whether \(G\) is soluble, whether a Sylow 2-subgroup is Abelian, normal, etc. The proofs are detailed and technical.
scientific article; zbMATH DE number 6070495