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

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

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