Volume 26 , Issue 2 , PP: 55-66, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Aiyared Iampan 1 , C. Sivakumar 2 , Neelamegarajan Rajesh 3
Doi: https://doi.org/10.54216/IJNS.260206
This paper explores the fundamental concepts of sub-level subgroups, element orders, normalizers, and centralizers within the framework of neutrosophic group theory. Additionally, it examines quotient groups and the index of a subgroup, extending classical algebraic structures to a neutrosophic setting. Finally, a generalized formulation of Lagrange’s theorem is presented, demonstrating its applicability in the neutrosophic environment and highlighting its implications for uncertain and indeterminate group structures.
Neutrosophic set , Neutrosophic subgroup , Neutrosophic order , Neutrosophic quotient group
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