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@article{152604,
        author = {Sarwar Sultana},
        title = {Evaluation All Possible Subgroups of a Group of Order 30 By Using Sylow’s Theorem},
        journal = {International Journal of Innovative Research in Technology},
        year = {},
        volume = {8},
        number = {3},
        pages = {1029-1034},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=152604},
        abstract = {In this work, we will discuss the concept of group, order of a group, along with the associated notions of automorphisms group of the dihedral groups and split extensions of groups. This work is a generalization of the Sylow’s Theorems. Then we find all the groups of order 30 which will give us a practical knowledge to see the applications of the Sylow’s Theorems. For this, we also have used some known results of Semi-direct Product of groups, some important  Theorem to obtain our result. Finally, we have found all subgroups of group order  30  for Abelian and Non-abelian cases.},
        keywords = {Dihedral group, exact sequences, split extensions of groups, Lagrange’s Theorems and P- Sylow’s Theorems.},
        month = {},
        }