Keywords:-

Keywords: Finite Groups, Prime Partitions, Subnormal Subgroups, Modularity, Structural Properties, Partitioned Primes, Group Structure.

Article Content:-

Abstract

This research investigates finite groups in the context of partitions of prime numbers, denoted as

References:-

References

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Michael N. John, and O. G. Udoaka, Computational Group Theory and Quantum-Era Cryptography, International Journal of Scientific Research in Science, Engineering and Technology, 10(6)(2023), 1-10

Michael N. John, Otobong G. Udoaka & Alex Musa. (2023). Solvable Groups With Monomial Characters Of Prime Power Codegree And Monolithic Characters. BULLETIN OF MATHEMATICS AND STATISTICS RESEARCH: 98 - 102, Volume 11 Issue 7 || Oct. – Dec., 2023 || PP 01-04. Retrieved from http://www.bomsr.com/11.4.23/98-102%20MICHAEL%20N.%20JOHN.pdf DOI:10.33329/bomsr.11.4.98

[9] Michael N. John & Udoaka O. G (2023). Algorithm and Cube-Lattice-Based Cryptography. International journal of Research Publication and reviews, Vol 4, no 10, pp 3312-3315 October 2023. DOI: https://doi.org/10.55248/gengpi.4.1023.102842

Michael N. John, Udoaka, Otobong. G., Alex Musa. "Key Agreement Protocol Using Conjugacy Classes of Finitely Generated group”, International Journal of Scientific Research in Science and technology(IJSRST), Volume 10, Issue 6, pp52-56. DOI: https://doi.org/10.32628/IJSRST2310645

Michael N. John, Udoaka, Otobong. G., Boniface O. Nwala, "Elliptic-Curve Groups in Quantum-Era Cryptography”, ISAR Journal of science and technology, Volume 1, Issue 1, pp21-24. DOI: https://doi.org/10.5281/zenodo.10207536

Michael N John, Udoaka Otobong G and Alex Musa. Nilpotent groups in cryptographic key exchange protocol for N≥ 1. Journal of Mathematical Problems, Equations and Statistics. 2023; 4(2): 32-34. DOI: 10.22271/math.2023.v4.i2a.103

Michael Nsikan John, Udoaka Otobong. G., & Alex Musa. (2023). SYMMETRIC BILINEAR CRYPTOGRAPHY ON ELLIPTIC CURVE AND LIE ALGEBRA. GPH - International Journal of Mathematics, 06(10), 01–15. https://doi.org/10.5281/zenodo.10200179

John, Michael N., Ozioma, O., Obi, P. N., Egbogho, H. E., & Udoaka, O. G. (2023). Lattices in Quantum-ERA Cryptography. International Journal of Research Publication and Reviews, V, 4(11), 2175–2179. https://doi.org/10.5281/zenodo.10207210

Michael N. John, Ogoegbulem Ozioma, Udoaka Otobong. G., Boniface O. Nwala, & Obi Perpetua Ngozi. (2023). CRYPTOGRAPHIC ENCRYPTION BASED ON RAIL-FENCE PERMUTATION CIPHER. GPH - International Journal of Mathematics, 06(11), 01–06. https://doi.org/10.5281/zenodo.10207316

Michael N. John, Ogoegbulem Ozioma, Obukohwo, Victor, & Henry Etaroghene Egbogho. (2023). NUMBER THEORY IN RSA ENCRYPTION SYSTEMS. GPH - International Journal of Mathematics, 06(11), 07–16. https://doi.org/10.5281/zenodo.10207361

John Michael. N., Bassey E. E., Udoaka O.G., Otobong J. T and Promise O.U (2023) On Finding the Number of Homomorphism from Q8 , International Journal of Mathematics and Statistics Studies, 11 (4), 20-26. doi: https://doi.org/10.37745/ijmss.13/vol11n42026

Michael N. John, Otobong G. Udoaka, & Itoro U. Udoakpan. (2023). Group Theory in Lattice-Based Cryptography. International Journal of Mathematics And Its Applications, 11(4), 111–125. Retrieved from

https://ijmaa.in/index.php/ijmaa/article/view/1438

Michael N. John and Udoakpan I. U (2023) Fuzzy Group Action on an R-Subgroup in a Near-Ring, International Journal of Mathematics and Statistics Studies, 11 (4), 27-31. Retrieved from https://eajournals.org/ijmss/wp-content/uploads/sites/71/2023/12/Fuzzy-Group.pdf DOI;https://doi.org/10.37745/ijmss.13/vol11n42731

Michael N. John, Edet, Effiong, & Otobong G. Udoaka. (2023). On Finding B-Algebras Generated By Modulo Integer Groups

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John, M. N., Napoleon, O., Ozioma, O., & G., U. (2023). Modularity in Finite Groups: Characterizing Groups with Modular. International Journal Of Mathematics And Computer Research, 11(12), 3914-3918. https://doi.org/10.47191/ijmcr/v11i12.06