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arXiv · 2403.14875

Undecidability of the stabilizer and zero-in-the-corner problems for matrix groups

Emmanuel Breuillard·Georgi Kocharyan
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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.

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Emmanuel Breuillard, Georgi Kocharyan. 2024-03-21. Undecidability of the stabilizer and zero-in-the-corner problems for matrix groups. https://arxiv.org/abs/2403.14875

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