Bunina, Elena; Myasnikov, Alexei; Plotkin, Eugene The Diophantine problem in Chevalley groups. (English) Zbl 1537.03051 J. Algebra 650, 219-274 (2024). Reviewer: Enrico Jabara (Venezia) MSC: 03D35 03C57 03C60 20F70 20F10 20G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Trost, Alexander A. Elementary bounded generation for \({\mathrm{SL}}_n\) for global function fields and \(n\geqslant 3\). (English) Zbl 1535.20254 Bull. Lond. Math. Soc. 56, No. 1, 219-231 (2024). Reviewer: Cameron Ruether (Ottawa) MSC: 20G30 20G07 11A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Avni, Nir; Meiri, Chen On the model theory of higher rank arithmetic groups. (English) Zbl 07783724 Duke Math. J. 172, No. 13, 2537-2590 (2023). MSC: 03C65 20F70 20G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Bunina, Elena Regular bi-interpretability of Chevalley groups over local rings. (English) Zbl 07722182 Eur. J. Math. 9, No. 3, Paper No. 64, 23 p. (2023). MSC: 03C60 20G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kunyavskiĭ, Boris; Plotkin, Eugene; Vavilov, Nikolai Bounded generation and commutator width of Chevalley groups: function case. (English) Zbl 1522.20207 Eur. J. Math. 9, No. 3, Paper No. 53, 64 p. (2023). Reviewer: Cameron Ruether (Ottawa) MSC: 20G44 20G07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nies, Andre; Segal, Dan; Tent, Katrin Finite axiomatizability for profinite groups. (English) Zbl 1509.03113 Proc. Lond. Math. Soc. (3) 123, No. 6, 597-635 (2021). MSC: 03C60 03C98 20A15 20E18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License