Rapinchuk A, Rapinchuk I. On division algebras having the same maximal subfields. Manuscripta mathematica. 2010;132(3-4):273–293.
Publications
2010
Prasad G, Rapinchuk A. Local-global principles for embedding of fields with involution into simple algebras with involution. Commentarii Mathematici Helvetici. 2010;85(3):583–645.
Prasad G, Rapinchuk A. Number-theoretic techniques in the theory of Lie groups and differential geometry. Fourth International Congress of Chinese Mathematicians. AMS/IP Stud. Adv. Math. 2010;48:231–250.
2009
Prasad G, Rapinchuk A. Weakly commensurable arithmetic groups and isospectral locally symmetric spaces. Publications Mathematiques de l’IHES. 2009;109:113–184.
2006
Erovenko I, Rapinchuk A. Bounded generation of S-arithmetic subgroups of isotropic orthogonal groups over number fields. Journal of Number Theory. 2006;119(1):28–48.
Rapinchuk A. The Margulis-Platonov conjecture for SL1,D and 2-generation of finite simple groups. Matematische Zeitschrift. 2006;252(2):295–313.
Rapinchuk A, Rowen L, Segev Y. Nonabelian free subgroups in homomorphic images of valued quaternion division algebras. Proceedings of the Amer. Math. Soc. 2006;134(11):3107–3114.
Prasad G, Rapinchuk A. On the existence of isotropic forms of semi-simple algebraic groups over number fields with prescribed local behavior. Advances in Mathematics. 2006;207(2):646–660.
2005
Prasad G, Rapinchuk A. Zariski-dense subgroups and transcendental number theory. Mathematical Research Letters. 2005;12(2-3):239–249.
2003
Prasad G, Rapinchuk A. Existence of irreducible R-regular elements in Zariski-dense subgroups. Mathematical Research Letters. 2003;10(1):21–32.