@article {10.3844/jmssp.2008.245.249,
article_type = {journal},
title = {Fundamental Properties of the Galois Correspondence},
author = {Olukayode, Ayinde S. and Abiodun, Oyekan E.},
volume = {4},
year = {2008},
month = {Dec},
pages = {245-249},
doi = {10.3844/jmssp.2008.245.249},
url = {https://thescipub.com/abstract/jmssp.2008.245.249},
abstract = {Problem Statement: Let K is the splitting field of a polynomial f(x) over a field F and αn be the roots of f in K. Let G be embedded as a subgroup of the symmetric group ς. We determined the Galois group G, and the subgroup. Approach: computed some auxiliary polynomials that had roots in K, where the permutation of a set was considered distinct. The Galois Theory was deduced using the primitive element and Splitting theorems. Results:  The Galois extension K/L to identity L and its Galois group is a subgroup of G. which was referred to as the main theorem which we proved. Conclusion: Hence the findings suggest the need for computing more auxiliary polynomials that have roots. },
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}