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

Evaluation All Possible Subgroups of a Group of Order 30 By Using Sylow’s Theorem
Author(s):
Sarwar Sultana
Keywords:
Dihedral group, exact sequences, split extensions of groups, Lagrangeā€™s Theorems and P- Sylowā€™s Theorems.
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 Sylowā€™s Theorems. Then we find all the groups of order 30 which will give us a practical knowledge to see the applications of the Sylowā€™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.
Article Details
Unique Paper ID: 152604 Publication Volume & Issue: Volume 8, Issue 3 Page(s): 1029 - 1034
Article Preview & Download

Share This Article

NCSST-2021

AICTE Sponsored National Conference on Smart Systems and Technologies

Last Date: 25th November 2021

LATEST INNOVATIONā€™S AND FUTURE TRENDS IN MANAGEMENT

Last Date: 7th November 2021

IJIRT.org enables door in research by providing high quality research articles in open access market.

Send us any query related to your research on editor@ijirt.org