Vol. 13, No. 9, 2019

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Irreducible characters with bounded root Artin conductor

Amalia Pizarro-Madariaga

Vol. 13 (2019), No. 9, 1997–2004
Abstract

We prove that the best possible lower bound for the Artin conductor is exponential in the degree.

Keywords
Artin character, Artin conductor, Hilbert class field tower
Mathematical Subject Classification 2010
Primary: 11Y40
Secondary: 20G05
Milestones
Received: 29 November 2017
Revised: 22 May 2019
Accepted: 25 June 2019
Published: 7 December 2019
Authors
Amalia Pizarro-Madariaga
Instituto de Matemáticas
Universidad de Valparaíso
Chile