Please help me by providing some results or paper that has already done. What kind of application that we can think?
This is a good question.
A paper that deals directly with this topic is
https://www.researchgate.net/publication/251305897_Applications_of_Galois_cohomology_in_algebraic_geometry
A good overview of the problem can found in the papers in
https://www.researchgate.net/scientific-contributions/2052281751_Fedor_Bogomolov
A good paper to check is
https://www.researchgate.net/profile/Alexander_Felshtyn/publication/293194023_The_R_and_S_properties_for_linear_algebraic_groups/links/56bf63c608ae2f498ef7f114/The-R-and-S-properties-for-linear-algebraic-groups.pdf?origin=publication_detail
Article Applications of Galois cohomology in algebraic geometry
Article The R∞ and S∞ properties for linear algebraic groups
@Arindam Das: Can i get paper by tate as a pdf ??
Yes, I just now found the paper
CHAPTER X Applications of Galois Cohomology in Algebraic Geometry by John Tate Notes by Serge Lang 1959
https://link-springer-com.uml.idm.oclc.org/content/pdf/10.1007%2FBFb0092634.pdf
This paper is a chapter in a Springer volume (see the attached front matter for this book).
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