Abstract
A group G is said to be a “minimal non-FO-group” (an MNFO-group) if all its proper subgroups are FO-groups, but G itself is not. The aim of this article is to study the class of MNFO-groups. The structure of MNFO-groups is completely described, both in nonperfect case and perfect case.
ACKNOWLEDGMENT
Project supported by the National Natural Science Foundation of China (Nos. 10771180, 10926129).
Notes
Communicated by V. A. Artamonov.