Document Type
Article
Publication Date
4-17-2015
Publication Title
Algebra & Number Theory
Abstract
We give conditions for the monodromy group of a Hurwitz space over the configuration space of branch points to be the full alternating or symmetric group on the degree. Specializing the resulting coverings suggests the existence of many number fields with surprisingly little ramification —for example, the existence of infinitely many Am or Sm number fields unramified away from {2,3,5}.
Volume
9
Issue
3
First Page
511
Last Page
545
DOI
10.2140/ant.2015.9.511
ISSN
1944-7833
Rights
© Copyright 2015 Mathematical Sciences Publishers. All rights reserved.
Recommended Citation
David P. Roberts and Akshay Venkatesh. Hurwitz monodromy and full number fields. Algebra and Number Theory 9 (2015), no. 3, 511-545.
Primo Type
Article
Comments
This is a pre-publication version of an article published in Algebra & Number Theory. The final authenticated version is available online at: https://doi.org/10.2140/ant.2015.9.511