Hurwitz monodromy and full number fields

David P. Roberts; Akshay Venkatesh

doi:10.2140/ant.2015.9.511

Hurwitz monodromy and full number fields

David P. Roberts, Akshay Venkatesh

Mathematics (Morris)

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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 A_m or S_m number fields unramified away from {2; 3; 5}.

Original language	English (US)
Pages (from-to)	511-545
Number of pages	35
Journal	Algebra and Number Theory
Volume	9
Issue number	3
DOIs	https://doi.org/10.2140/ant.2015.9.511
State	Published - Jul 11 2015

Bibliographical note

Publisher Copyright:
© 2015 Mathematical Sciences Publishers.

Keywords

Hurwitz spaces
Number fields

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10.2140/ant.2015.9.511

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Hurwitz monodromy and full number fields

Abstract

Bibliographical note

Keywords

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