Ferreira, Jorge N. M.Fleischmann, Peter2023-02-132023-02-132016Jorge N. M. Ferreira & Peter Fleischmann (2016) The Invariant Fields of the Sylow Groups of Classical Groups in the Natural Characteristic, Communications in Algebra, 44:3, 977-1010, DOI: 10.1080/00927872.2014.999922http://hdl.handle.net/10400.13/5032Let X be any finite classical group defined over a finite field of characteristic p > 0. In this article, we determine the fields of rational invariants for the Sylow p-subgroups of X, acting on the natural module. In particular, we prove that these fields are generated by orbit products of variables and certain invariant polynomials which are images under Steenrod operations, applied to the respective invariant linear forms defining X.engFinite classical groupsInvariant fieldsModular invariant theorySylow groups.Faculdade de Ciências Exatas e da Engenhariajournal article10.1080/00927872.2014.999922