Sezer, M.Ünlü, O.2016-02-082016-02-0820090002-9939http://hdl.handle.net/11693/22798Let F be a finite field and k be a positive integer. We compute the reduced Gröbner basis for the Hilbert ideal of GLk(F) in terms of Dickson invariants of its subgroups. © 2008 American Mathematical Society.EnglishDickson polynomialsGröbner basisHilbert idealGröbnerian Dickson polynomialsArticle10.1090/S0002-9939-08-09758-X