On a property of special groups
Algebraic Geometry
2007-05-23 v1 Group Theory
Abstract
Let G be an algebraic group defined over an algebraically closed field k of characteristic zero. We give a simple proof of the following result: if H^1(L, G) = {1} for some finitely generated field extension L/k of transcendence degree \ge 3 then H^1(K, G) = {1} for every field extension K/k.
Keywords
Cite
@article{arxiv.math/9910140,
title = {On a property of special groups},
author = {Zinovy Reichstein and Boris Youssin},
journal= {arXiv preprint arXiv:math/9910140},
year = {2007}
}
Comments
AMS LaTeX 1.1, 4 pages. Author-supplied dvi file available at http://ucs.orst.edu/~reichstz/pub.html