Abstract
The author studies infinite locally finite groups with the locally nilpotent non-Dedekind norm of decomposable subgroups. It is found out that such groups are either p-groups or Frobenius groups, which kernel coincides with the norm of decomposable subgroups. Their structure is described.
2010 MATHEMATICS SUBJECT CLASSIFICATION:
Acknowledgment
The author is very grateful to the referee who has read the manuscript carefully and provided a lot of valuable suggestions and useful comments, which improved the paper.