We investigate possible orders of reductions of a point in the Mordell-Weil groups of certain abelian varieties and in direct products of the multiplicative group of a number field. We express the result obtained in terms of divisibility sequences.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm137-2-5,
author = {Stefan Bara\'nczuk and Piotr Rzonsowski},
title = {A remark on certain simultaneous divisibility sequences},
journal = {Colloquium Mathematicae},
volume = {135},
year = {2014},
pages = {209-213},
zbl = {1307.11070},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm137-2-5}
}
Stefan Barańczuk; Piotr Rzonsowski. A remark on certain simultaneous divisibility sequences. Colloquium Mathematicae, Tome 135 (2014) pp. 209-213. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm137-2-5/