Rationality of almost simple algebraic groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148372We prove the stable rationality of almost simple algebraic groups, the connected components of the Dynkin diagram of anisotropic kernel of which contain at most two vertices. The (stable) rationality of many isotropic almost simple groups with small anisotropic kernel and some related results over $p$-adic and arbitrary fields are discussed.originally the manuscript has been circulated since March 1995, LaTeXAlgebraic Geometry20G15, 14G05, 14G10Rationality of almost simple algebraic groupstext