Generators of Bieberbach groups with 2-generated holonomy group (Q2273268)

In [Commun. Algebra 37, No. 12, 4332--4345 (2009; Zbl 1197.20043)] \textit{K. Dekimpe} and \textit{P. Penninckx} conjectured that the minimum number of generators of an \(n\)-dimensional Bieberbach group is less than or equal to \(n\). In this paper the author shows that the conjecture is true if the holonomy group is \(2\)-generated or the order of holonomy group is not divisible by \(2\) or \(3\).