Concepedia

FUNCTORIALITY AND THE INVERSE GALOIS PROBLEM

Unknown author(s)

2006 · 41 citations · 13 references

Concepts

Abstract

Abstract. We prove that for any prime ` and any even integer n, there are infinitely many exponents k for which PSpn(F`k) appears as a Galois group overQ. This generalizes a result of Wiese [Wiese], which inspired this paper. MSC numbers: 11F, 11R 1.

References

13

Endomorphisms of linear algebraic groups

Robert Steinberg · Memoirs of the American Mathematical Society · 1968 · 909 citations

, , +10

On Whittaker vectors and representation theory

Bertram Kostant · Inventiones mathematicae · 1978 · 625 citations

, , +10

A Proof of Langlands' Conjecture on Plancherel Measures; Complementary Series of -adic groups

Freydoon Shahidi · Annals of Mathematics · 1990 · 592 citations

, , +9

Atlas of Finite Groups--Maximal Subgroups and Ordinary Characters for Simple Groups.

R. Steinberg, J. H. Conway, Robert T. Curtis et al. · Mathematics of Computation · 1987 · 488 citations

, , +7

Gelfand-Kirillov dimension for Harish-Chandra modules

David A. Vogan · Inventiones mathematicae · 1978 · 265 citations

, , +10