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Title: :  INVERSE GALOIS PROBLEM WITH VIEWPOINT TO GALOIS THEORY AND IT’S APPLICATIONS
PaperId: :  5923
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 3 Issue 4 2017
DUI:    16.0415/IJARIIE-5923
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
Dr. Ajay Kumar GuptaBhagwant Institute of Technology, Muzaffarnagar
vinod kumarBhagwant University

Abstract

mathematics
Problem, Contribution, Field Theory, and Simple Group etc.
In this paper we are presenting a review of the inverse Galois Problem and its applications. In mathematics, more specifically in abstract algebra, Galois Theory, named after Évariste Galois, provides a connection between field theory and group theory. Using Galois Theory, certain problems in field theory can be reduced to group theory, which is, in some sense, simpler and better understood. Originally, Galois used permutation groups to describe how the various roots of a given polynomial equation are related to each other. Galois Theory is the algebraic study of groups that can be associated with polynomial equations. In this survey we outline the milestones of the Inverse Problem of Galois theory historically up to the present time. We summarize as well the contribution of the authors to the Galois Embedding Problem, which is the most natural approach to the Inverse Problem in the case of non-simple groups.

Citations

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IJARIIE Dr. Ajay Kumar Gupta, and vinod kumar. "INVERSE GALOIS PROBLEM WITH VIEWPOINT TO GALOIS THEORY AND IT’S APPLICATIONS" International Journal Of Advance Research And Innovative Ideas In Education Volume 3 Issue 4 2017 Page 119-122
MLA Dr. Ajay Kumar Gupta, and vinod kumar. "INVERSE GALOIS PROBLEM WITH VIEWPOINT TO GALOIS THEORY AND IT’S APPLICATIONS." International Journal Of Advance Research And Innovative Ideas In Education 3.4(2017) : 119-122.
APA Dr. Ajay Kumar Gupta, & vinod kumar. (2017). INVERSE GALOIS PROBLEM WITH VIEWPOINT TO GALOIS THEORY AND IT’S APPLICATIONS. International Journal Of Advance Research And Innovative Ideas In Education, 3(4), 119-122.
Chicago Dr. Ajay Kumar Gupta, and vinod kumar. "INVERSE GALOIS PROBLEM WITH VIEWPOINT TO GALOIS THEORY AND IT’S APPLICATIONS." International Journal Of Advance Research And Innovative Ideas In Education 3, no. 4 (2017) : 119-122.
Oxford Dr. Ajay Kumar Gupta, and vinod kumar. 'INVERSE GALOIS PROBLEM WITH VIEWPOINT TO GALOIS THEORY AND IT’S APPLICATIONS', International Journal Of Advance Research And Innovative Ideas In Education, vol. 3, no. 4, 2017, p. 119-122. Available from IJARIIE, http://ijariie.com/AdminUploadPdf/INVERSE_GALOIS_PROBLEM_WITH_VIEWPOINT_TO_GALOIS_THEORY_AND_IT’S_APPLICATIONS_ijariie5923.pdf (Accessed : 23 April 2018).
Harvard Dr. Ajay Kumar Gupta, and vinod kumar. (2017) 'INVERSE GALOIS PROBLEM WITH VIEWPOINT TO GALOIS THEORY AND IT’S APPLICATIONS', International Journal Of Advance Research And Innovative Ideas In Education, 3(4), pp. 119-122IJARIIE [Online]. Available at: http://ijariie.com/AdminUploadPdf/INVERSE_GALOIS_PROBLEM_WITH_VIEWPOINT_TO_GALOIS_THEORY_AND_IT’S_APPLICATIONS_ijariie5923.pdf (Accessed : 23 April 2018)
IEEE Dr. Ajay Kumar Gupta, and vinod kumar, "INVERSE GALOIS PROBLEM WITH VIEWPOINT TO GALOIS THEORY AND IT’S APPLICATIONS," International Journal Of Advance Research And Innovative Ideas In Education, vol. 3, no. 4, pp. 119-122, Jul-Aug 2017. [Online]. Available: http://ijariie.com/AdminUploadPdf/INVERSE_GALOIS_PROBLEM_WITH_VIEWPOINT_TO_GALOIS_THEORY_AND_IT’S_APPLICATIONS_ijariie5923.pdf [Accessed : 23 April 2018].
Turabian Dr. Ajay Kumar Gupta, and vinod kumar. "INVERSE GALOIS PROBLEM WITH VIEWPOINT TO GALOIS THEORY AND IT’S APPLICATIONS." International Journal Of Advance Research And Innovative Ideas In Education [Online]. volume 3 number 4 (23 April 2018).
Vancouver Dr. Ajay Kumar Gupta, and vinod kumar. INVERSE GALOIS PROBLEM WITH VIEWPOINT TO GALOIS THEORY AND IT’S APPLICATIONS. International Journal Of Advance Research And Innovative Ideas In Education [Internet]. 2017 [Cited : 23 April 2018]; 3(4) : 119-122. Available from: http://ijariie.com/AdminUploadPdf/INVERSE_GALOIS_PROBLEM_WITH_VIEWPOINT_TO_GALOIS_THEORY_AND_IT’S_APPLICATIONS_ijariie5923.pdf
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