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University of Illinois at Urbana-Champaign

Number Fields Which Are Ramified Only at One Small Prime

Abstract

dc:description

The only parts that depend on GRH are: (1) In the first result when a nonsolvable image of rho does not the embed in GL2( F7 ); (2) In the second result for p = 5 with wild ramification. I plan to remove the GRH hypothesis in this part by another computer search shortly.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Mathematics
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2015

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Brueggeman, Sharon Ann
Contributors dc:contributor
  • Boston, Nigel

Subjects

dc:subject × 1

Rights

Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
(MiAaPQ)AAI9944804
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/86971

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Brueggeman, Sharon Ann. Number Fields Which Are Ramified Only at One Small Prime. Dissertation thesis, University of Illinois at Urbana-Champaign, 2015. http://hdl.handle.net/2142/86971