Additive polynomials for finite groups of Lie type
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This paper provides a realization of all classical finite groups of Lie type as well as a number of exceptional ones (with low-dimensional representations) as Galois groups over function fields over F q and derives explicit additive polynomials for the extensions. Our unified approach is based on results of Matzat which give bounds for Galois groups of Frobenius modules and uses the structure and representation theory of the corresponding connected linear algebraic groups.
KeywordsMaximal Subgroup Characteristic Polynomial Simple Root Galois Group Maximal Torus
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