Abstract

We develop different formulas of algebraic and/or arithmetic nature allowing an explicit calculation, both over a finite field and over a field of characteristic 0, of the algebraic part of the unramified Brauer group of a homogeneous space G\G' under a semisimple simply connected linear group G' with finite stabilizer G. We also give examples of the calculations that can be done with these formulas. (C) 2014 Elsevier Inc. Tous droits reserves.