On Stoll’s criterion for the maximality of quadratic arboreal Galois representations

研究成果: 雜誌貢獻期刊論文同行評審

摘要

We show that for a quadratic polynomial f(x) = x2- c, where c= (8 k+ 2) (8 k+ 3) or c= (4 k+ 1) (4 k+ 2) + 1 with k∈ N∪ { 0 } , the Galois group of the splitting field of each iterate fn of f is isomorphic to the automorphism group of a complete binary rooted tree of height n.

原文英語
期刊Archiv der Mathematik
DOIs
出版狀態接受/付印 - 2021

ASJC Scopus subject areas

  • Mathematics(all)

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