@article{Edeghagba_Muhammad_2022, title={An Introduction to Omega-Subgroup}, volume={8}, url={http://ijmso.unilag.edu.ng/article/view/1536}, DOI={10.6084/m9.figshare.20695609}, abstractNote={<p>In the language of Omega-groupoid we introduce Omega-subgroup, where a groupoid is an algebraic structure endow with one binary operation. <br>Omega-subgroup is defined, as a generalization of the classical subgroup. In this case it was shown that the properties of Omega-groups are inherent in their Omega-subgroups. We then introduce and define the notions: center of an Omega-group, centralizers and normalizers of an Omega-subset of an Omega-group. Furthermore we investigate and prove some of the properties of these notions as in the case of classical group theory.</p>}, number={1}, journal={International Journal of Mathematical Sciences and Optimization: Theory and Applications}, author={Edeghagba, Elijah E. and Muhammad, Umar F.}, year={2022}, month={May}, pages={22 - 36} }