Monogenic in N-groups and its Subgroups

Authors

  • Akin. J. S
  • Pramila Inpa Rose. A

DOI:

https://doi.org/10.22399/ijcesen.4500

Keywords:

N-groups, subgroups, monogenic

Abstract

In this article we discuss the concept of monogenic -groups. First, we introduced the -monogenic -groups and we study its example and properties. Then we define monogenic in proper subgroups of -groups. We give example of monogenic subgroup of -groups and structured its properties. Finally, we define the definition of -monogenic subgroups of                -groups. We study the example and conditions of -monogenic subgroups of -groups

References

[1] Dickson, L. E., Definition of a group and a field by independent postulates, Trans. Amer. Math. Soc. 6(1905), 198-204.

[2] Pilz, G., Near-Rings: The Theory and its Applications, North Holland, Amsterdam, 1983.

[3] Zassenhaus, H., Über endliche Fastkörper, Abh. Math. Sem. Univ. Hamburg 11 (1935/36), 187-220.

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Published

2025-12-22

How to Cite

J. S , A., & Pramila Inpa Rose. A. (2025). Monogenic in N-groups and its Subgroups. International Journal of Computational and Experimental Science and Engineering, 11(4). https://doi.org/10.22399/ijcesen.4500

Issue

Vol. 11 No. 4 (2025): IJCESEN

Section

Research Article

License

Copyright (c) 2025 International Journal of Computational and Experimental Science and Engineering

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.