Currently displaying 1 – 1 of 1

Showing per page

Order by Relevance | Title | Year of publication

Cohomology of integer matrices and local-global divisibility on the torus

Marco Illengo — 2008

Journal de Théorie des Nombres de Bordeaux

Let p 2 be a prime and let  G be a p -group of matrices in SL n ( ) , for some integer  n . In this paper we show that, when n < 3 ( p - 1 ) , a certain subgroup of the cohomology group H 1 ( G , 𝔽 p n ) is trivial. We also show that this statement can be false when n 3 ( p - 1 ) . Together with a result of Dvornicich and Zannier (see []), we obtain that any algebraic torus of dimension n < 3 ( p - 1 ) enjoys a local-global principle on divisibility by  p .

Page 1

Download Results (CSV)