Natural Science, Mathematics, 2025
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.
Submitted: 2025-01-27; Published: 2025-01-27
© 2025 by author(s) and The Gufo Inc.
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.