Undecidability of the stabilizer and zero-in-the-corner problems for matrix groups
Group Theory
2024-03-25 v1 Logic
Abstract
The show that the upper-left-corner problem and upper-right-corner problem for matrix groups with rational entries are undecidable. To reach this aim, we answer a question of Dixon from 1985 by proving the undecidability of the stabilizer problem for matrix groups.
Keywords
Cite
@article{arxiv.2403.14875,
title = {Undecidability of the stabilizer and zero-in-the-corner problems for matrix groups},
author = {Emmanuel Breuillard and Georgi Kocharyan},
journal= {arXiv preprint arXiv:2403.14875},
year = {2024}
}
Comments
10 pages, comments welcome!