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PERFECTLY STABLE AND NORMAL SUBGROUPS

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

The equivalence between the concepts of normal and perfectly stable  subgroups is shown. The proof of the main theorem is based on a novel concept of hypergroups over a group.

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