Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772566 | Journal of Number Theory | 2017 | 20 Pages |
Abstract
In this note, we study Artin's conjecture via group theory and derive Langlands reciprocity for certain solvable Galois extensions of number fields, which extends the previous work of Arthur and Clozel. In particular, we show that all nearly nilpotent groups and all groups of order less than 60 are of automorphic type.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Peng-Jie Wong,