M. Alkadhi, Relations between Schmidt's, Miller-Moreno's Groups and Groups with Basis Property, BMSA Volume 1, Bulletin of Mathematical Sciences and Applications (Volume 1)
https://www.scipress.com/BMSA.1.41
Abstract:
    In this paper we prove that a Schmidt's group forms a group with basis property if and only if it is a Miller- Moreno's group of type <i>G(p,q)</i> such that <i>(p≠q(p,q are primes).</i> Therefore doesn’t group with basis property if it is a Miller- Moreno's group of type <i>G(p,q<sup>v</sup></i><i>), vϵN, v&gt;1.</i>
Keywords:
    Group with Basis Property, Miller-Moreno Group, Schmidt Group