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Shadowing and stability in p-adic dynamics
(Elsevier B.V., 2021-08-15)
In this paper, we study dynamical properties as shadowing and structural stability for a class of functions on the p-adic metric spaces Z(p) and Q(p) where p >= 2 is a prime integer. (c) 2021 Elsevier Inc. All rights reserved.
p-cycles, S2-sets and Curves with Many Points.
(2018-07-24)
We construct S2-sets contained in the integer interval Iq-1:= (1,q-1) with q = pn,
p a prime number and n E Z+, by using the p-adic expansion of integers. Such sets come
from considering p-cycles of length n. We give ...
El problema de Büchi para números p-ádicos = Büchi’s problem for p-adic numbers.
(Universidad de Concepción.Facultad de Ciencias Físicas y MatemáticasDepartamento de Matemática., 2011)
Motivated by a mathematical logic problem, J.R. Buchi proposed the
following problem in the early 1970’s.
Problem (B¨uchi’s problem). B2(Z). Does there exist a positive integer M
such that any sequence of M integer ...
Anticyclotomic p-adic L-functions for elliptic curves at some additive reduction primes
(Elsevier France-editions Scientifiques Medicales Elsevier, 2018-10)
Let E be a rational elliptic curve and let p be an odd prime of additive reduction. Let K be an imaginary quadratic field and fix a positive integer c prime to the conductor of E. The main goal of the present article is ...
The Jacobian Conjecture `a la Zp
(Universidade Federal de Minas GeraisUFMG, 2018-02-05)
We survey some classical results about the Jacobian Conjecture and formulate the Invariance Conjecture. We show that this new conjecture is equivalent, in some sense, to the Jacobian Conjecture. We make a contribution to ...
SPECTRUM OF STOCHASTIC ADDING MACHINES AND FIBERED JULIA SETS
(World Scientific Publ Co Pte Ltd, 2013-09-01)
Consider the basic algorithm to perform the transformation n bar right arrow n + 1 changing digits of the d-adic expansion of n one by one. We obtain a family of Markov chains on the non-negative integers through successive ...
Módulos de permutação p-ádicos para p-grupos abelianos elementares
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE MATEMÁTICAPrograma de Pós-Graduação em MatemáticaUFMG, 2022-02-21)
Let $\Z_p$ be the ring of $p$-adic integers and $G$ be a finite $p$-group. Recently, MacQuarrie and Zalesskii characterized the $\Z_pG$-permutation modules by just looking at modules for $G/N$, where $N$ is a normal subgroup ...
A confirmação da Conjectura de Artin para pares de formas aditivas de graus 2T.3 e 3T.2
(2013-09-09)
Uma versão da Conjectura de Artin afirma que para um sistema homogêneo com duas equações diagonais de grau k, cujos coeficientes são inteiros, ter solução p-ádica não trivial é suficiente que o número de variáveis seja ...
Isometries between finite groups
(Elsevier Science, 2020-11)
We prove that if H is a subgroup of index n of any cyclic group G then G can be isometrically embedded in (H n , d n Ham), thus generalizing previous results of Carlet (1998) for G = Z2 k and Yildiz and Ödemiş Özger (2012) ...