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Preprint Number 2591

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2591. Emmanuel Breuillard and Georgi Kocharyan
Undecidability of the stabilizer and zero-in-the-corner problems for matrix groups
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Submission date: 21 March 2024

Abstract:

We 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.

Mathematics Subject Classification: 20F10, 20F05, 03D40

Keywords and phrases:

Full text arXiv 2403.14875: pdf, ps.


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