Rapinchuk A, Rapinchuk I. Recent developments in the theory of algebraic groups: good reduction and finiteness properties. Notices of the AMS . 2021;68(6):899–910.
Publications
2021
2020
Chernousov V, Rapinchuk A, Rapinchuk I. The finiteness of the genus of a finite-dimensional division algebra, and some generalizations. Israel Journal of Mathematics. 2020;236:747–799.
Rapinchuk A, Rapinchuk I. Linear algebraic groups with good reduction. Research in Mathematical Sciences. 2020;7(3).
2019
Chernousov V, Rapinchuk A, Rapinchuk I. Spinor groups with good reduction. Compositio mathematica. 2019;155 (3):484–527.
2018
Morgan A, Rapinchuk A, Sury B. Bounded generation of SL_2 over rings of algebraic S-integers with infinitely many units. Algebra and Number Theory. 2018;12(8):1949–1974.
2017
Prasad G, Rapinchuk A. Generic elements of a Zariski-dense subgroup form an open subset. Transactions of the Moscow Mathematical Society. 2017;78:299–314.
2016
Chernousov V, Rapinchuk A, Rapinchuk I. On some finiteness properties of algebraic groups over finitely generated fields. C. R. Math. Acad. Sci. Paris . 2016;354(9):869–873.
Chernousov V, Rapinchuk A, Rapinchuk I. On the size of the genus of a division algebra. Proc. Steklov Inst. Math. 2016;292(1):63–93.
Prasad G, Rapinchuk A. On the congruence kernel for simple algebraic groups. Proc. Steklov Inst. Math. 2016;292(1):216–246.
2015
Efrat I, Rapinchuk A, Segev Y. On graphs and valuations. Manuscripta mathematica. 2015;146(3-4):395–432.