A dynamical characterization for monogenity at every level of some infinite -towers

DOI10.4153/S0008439521000874zbMath1506.11121OpenAlexW3206386540MaRDI QIDQ5099407

Marianela Castillo

Publication date: 31 August 2022

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/s0008439521000874

zbMATH Keywords

square-free integerstotally real fieldsmonogenic fieldsiteration of polynomials2-towers

Mathematics Subject Classification ID

Algebraic numbers; rings of algebraic integers (11R04) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32) Totally real fields (11R80)

Related Items (2)

On number fields towers defined by iteration of polynomials ⋮ Monogenity of iterates of polynomials

Cites Work

• Galois group over \(\mathbb{Q}\) of some iterated polynomials
• When is \(\mathbb{Z}[a\) the ring of the integers?]
• Definability of the natural numbers in totally real towers of nested square roots
• On the integral basis of the maximal real subfield of a cyclotomic field.
• Number fields
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