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Evaluation All Possible Subgroups of a Group of Order 30 By Using Sylow’s Theorem

  • Unique Paper ID: 152604
  • Volume: 8
  • Issue: 3
  • PageNo: 1029-1034
  • 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.
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  • ISSN: 2349-6002
  • Volume: 8
  • Issue: 3
  • PageNo: 1029-1034

Evaluation All Possible Subgroups of a Group of Order 30 By Using Sylow’s Theorem

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