Arboreal Galois representation for a certain type of quadratic polynomials

Research output: Contribution to journalArticle

Abstract

We give a description of the arboreal Galois representation of a quadratic polynomial f(x) = x2- (4 k+ 1) , where k∈ N and 4 k+ 1 is not a square in Z.

Original languageEnglish
Pages (from-to)265-269
Number of pages5
JournalArchiv der Mathematik
Volume114
Issue number3
DOIs
Publication statusPublished - 2020 Mar 1

Keywords

  • Arboreal Galois representation
  • Kummer extension
  • Wreath product

ASJC Scopus subject areas

  • Mathematics(all)

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