Additive polynomials for finite groups of Lie type

作者:Albert Maximilian*; Maier Annette
来源:Israel Journal of Mathematics, 2011, 186(1): 125-195.
DOI:10.1007/s11856-011-0135-0

摘要

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.

  • 出版日期2011-11