Galois theory of iterated endomorphisms

DOI10.1112/plms/pdp051zbMath1244.11057arXiv0706.2384OpenAlexW2003694901MaRDI QIDQ3560950

Jeremy Rouse, Rafe Jones

Publication date: 17 May 2010

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.2384

Mathematics Subject Classification ID

Galois representations (11F80) Arithmetic ground fields for abelian varieties (14K15) Group varieties (14L10)

Related Items (21)

Reductions of algebraic integers ⋮ Explicit surjectivity of Galois representations for abelian surfaces and \(\operatorname{GL}_{2}\)-varieties ⋮ Somos-4 and Somos-5 are arithmetic divisibility sequences ⋮ Divisibility properties of the Fibonacci entry point ⋮ -adic images of Galois for elliptic curves over (and an appendix with John Voight) ⋮ Eventually stable rational functions ⋮ The density of primes dividing a term in the Somos-5 sequence ⋮ Galois groups and prime divisors in random quadratic sequences ⋮ An iterative construction of irreducible polynomials reducible modulo every prime ⋮ The order of the reductions of an algebraic integer ⋮ Uniform bounds on the image of the arboreal Galois representations attached to non-CM elliptic curves ⋮ On the local-global divisibility of torsion points on elliptic curves and \(\operatorname{GL}_{2}\)-type varieties ⋮ Discriminants of simplest \(3^n\)-tic extensions ⋮ QUADRATIC RECURRENCES WITH A POSITIVE DENSITY OF PRIME DIVISORS ⋮ Elliptic curves over \(\mathbb {Q}\) and 2-adic images of Galois ⋮ REDUCTIONS OF POINTS ON ALGEBRAIC GROUPS ⋮ Density of odd order reductions for elliptic curves with a rational point of order 2 ⋮ The density of primes dividing a particular non-linear recurrence sequence ⋮ Some uniform bounds for elliptic curves over \(\mathbb{Q} \) ⋮ REDUCTIONS OF POINTS ON ALGEBRAIC GROUPS, II ⋮ Reductions of one-dimensional tori

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