The unramified Brauer group of homogeneous spaces with finite stabilizer
نویسندگان
چکیده
منابع مشابه
The Brauer–manin Obstructions for Homogeneous Spaces with Connected or Abelian Stabilizer
In this paper we prove that for a homogeneous space of a connected algebraic group with connected stabilizer and for a homogeneous space of a simply connected group with abelian stabilizer, the Brauer–Manin obstructions to the Hasse principle and weak approximation are the only ones. More precisely, let X be an algebraic variety over a number field k. The variety X is called a counter-example t...
متن کاملBrauer Equivalence in a Homogeneous Space with Connected Stabilizer
Let G be a simply connected algebraic group over a field k of characteristic 0, H a connected k-subgroup of G, X = H\G. When k is a local field or a number field, we compute the set of Brauer equivalence classes in X(k). 0. Introduction In this note we investigate the Brauer equivalence in a homogeneous space X = H\G, where G is a simply connected algebraic group over a local field or a number ...
متن کاملUnramified Brauer Groups of Finite and Infinite Groups
The Bogomolov multiplier is a group theoretical invariant isomorphic to the unramified Brauer group of a given quotient space. We derive a homological version of the Bogomolov multiplier, prove a Hopf-type formula, find a five term exact sequence corresponding to this invariant, and describe the role of the Bogomolov multiplier in the theory of central extensions. A new description of the Bogom...
متن کاملHomogeneous Spaces of the Lorentz Group
We present a classification, up to isomorphisms, of all the homogeneous spaces of the Lorentz group with dimension lower than six. At the same time, we classify, up to conjugation, all the non-discrete closed subgroup of the Lorentz group and all the subalgebras of the Lorentz Lie algebra. We also study the covariant mappings between some pairs of homogeneous spaces. This exercise is done witho...
متن کاملA classification of finite homogeneous semilinear spaces
A semilinear space S is homogeneous if, whenever the semilinear structures induced on two finite subsets S1 and S2 of S are isomorphic, there is at least one automorphism of S mapping S1 onto S2. We give a complete classification of all finite homogeneous semilinear spaces. Our theorem extends a result of Ronse on graphs and a result of Devillers and Doyen
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2019
ISSN: 0002-9947,1088-6850
DOI: 10.1090/tran/7796