Prefer a chat interface with context about you and your work?
R-EQUIVALENCE ON GROUP SCHEMES AND NON STABLE K 1 -FUNCTORS
We define R-equivalence for group schemes over a semilocal ring and relate this with rational properties. Two main cases are investigated: tori and isotropic semisimple simply connected group schemes where we show in certain cases that R-equivalence coincide with Karoubi-Villamayor equivalence and is also related to the Kneser-Tits problem in …