Some sufficient conditions for a nilpotent group (Q1188155)

Several sufficient conditions are posed in order that a finite group be nilpotent. In most of them the notion of ``semi-normal'' plays a rôle. Here, a subgroup \(A\) of a group \(G\) is said to be semi-normal in \(G\) if there exists \(B\leq G\) with \(AB=G\) but with \(AC<G\) for every \(C<B\). Reviewer's remarks: 1. The use of the English language is mediocre. 2. The name of the reviewer is mispelled in the paper, whenever possible, in distinct ways. 3. There are some (obvious) misprints in the mathematics. 4. The example as constructed on page 292, is precisely the same example as mentioned in the Introduction of the reviewer's paper [in J. Reine Angew. Math. 285, 77-78 (1976; Zbl 0326.20020)], despite the comment by the author on page 293.