Chernousov, Vladimir I.; Rapinchuk, Andrei S.; Rapinchuk, Igor A. Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction. (English) Zbl 07801725 Adv. Math. 438, Article ID 109437, 78 p. (2024). MSC: 11E72 14L15 20G15 PDFBibTeX XMLCite \textit{V. I. Chernousov} et al., Adv. Math. 438, Article ID 109437, 78 p. (2024; Zbl 07801725) Full Text: DOI arXiv
Rapinchuk, Andrei S.; Rapinchuk, Igor A. Linear algebraic groups with good reduction. (English) Zbl 1466.20032 Res. Math. Sci. 7, No. 3, Paper No. 28, 65 p. (2020). MSC: 20G05 11E72 14G05 14L15 20E15 20-02 PDFBibTeX XMLCite \textit{A. S. Rapinchuk} and \textit{I. A. Rapinchuk}, Res. Math. Sci. 7, No. 3, Paper No. 28, 65 p. (2020; Zbl 1466.20032) Full Text: DOI arXiv
Chernousov, Vladimir I.; Rapinchuk, Andrei S.; Rapinchuk, Igor A. The finiteness of the genus of a finite-dimensional division algebra, and some generalizations. (English) Zbl 1467.16018 Isr. J. Math. 236, No. 2, 747-799 (2020). Reviewer: Tamás Szamuely (Pisa) MSC: 16K50 16K20 PDFBibTeX XMLCite \textit{V. I. Chernousov} et al., Isr. J. Math. 236, No. 2, 747--799 (2020; Zbl 1467.16018) Full Text: DOI arXiv
Chernousov, Vladimir I.; Rapinchuk, Andrei S.; Rapinchuk, Igor A. On the size of the genus of a division algebra. (English) Zbl 1356.16013 Proc. Steklov Inst. Math. 292, 63-93 (2016) and Tr. Mat. Inst. Steklova 292, 69-99 (2016). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 16K20 16K50 11R52 12E15 12F20 14H05 PDFBibTeX XMLCite \textit{V. I. Chernousov} et al., Proc. Steklov Inst. Math. 292, 63--93 (2016; Zbl 1356.16013) Full Text: DOI
Chernousov, Vladimir I.; Rapinchuk, Andrei S.; Rapinchuk, Igor A. The genus of a division algebra and the unramified Brauer group. (English) Zbl 1293.16015 Bull. Math. Sci. 3, No. 2, 211-240 (2013). Reviewer: Maneesh Thakur (New Delhi) MSC: 16K20 16K50 20G15 20G10 12E15 11R52 PDFBibTeX XMLCite \textit{V. I. Chernousov} et al., Bull. Math. Sci. 3, No. 2, 211--240 (2013; Zbl 1293.16015) Full Text: DOI arXiv
Chernousov, Vladimir I.; Rapinchuk, Andrei S.; Rapinchuk, Igor A. On the genus of a division algebra. (English. Abridged French version) Zbl 1272.16020 C. R., Math., Acad. Sci. Paris 350, No. 17-18, 807-812 (2012). Reviewer: Maneesh Thakur (New Delhi) MSC: 16K40 16K50 PDFBibTeX XMLCite \textit{V. I. Chernousov} et al., C. R., Math., Acad. Sci. Paris 350, No. 17--18, 807--812 (2012; Zbl 1272.16020) Full Text: DOI arXiv
Rapinchuk, Andrei S.; Rapinchuk, Igor A. On division algebras having the same maximal subfields. (English) Zbl 1205.16015 Manuscr. Math. 132, No. 3-4, 273-293 (2010). Reviewer: Uzi Vishne (Ramat-Gan) MSC: 16K20 16K50 20G15 11R58 PDFBibTeX XMLCite \textit{A. S. Rapinchuk} and \textit{I. A. Rapinchuk}, Manuscr. Math. 132, No. 3--4, 273--293 (2010; Zbl 1205.16015) Full Text: DOI arXiv