scholarly journals Strong approximation for Zariski dense subgroups over arbitrary global fields

2000 ◽  
Vol 75 (4) ◽  
pp. 608-643 ◽  
Author(s):  
R. Pink
Keyword(s):  
Strong Approximation ◽  
Global Fields ◽  
Dense Subgroups

scholarly journals Strong Approximation for a Toric Variety

2021 ◽  
Vol 37 (1) ◽  
pp. 95-103
Author(s):  
Da Sheng Wei
Keyword(s):  
Toric Variety ◽  
Strong Approximation

scholarly journals Free dense subgroups of holomorphic automorphisms

2015 ◽  
Vol 280 (1-2) ◽  
pp. 335-346 ◽  
Author(s):  
Rafael B. Andrist ◽  
Erlend Fornæss Wold
Keyword(s):  
Dense Subgroups ◽  
Holomorphic Automorphisms

scholarly journals Free rank n + 1 dense subgroups of Rn and their endomorphisms

1982 ◽  
Vol 46 (1) ◽  
pp. 1-27 ◽  
Author(s):  
David Handelman
Keyword(s):  
Free Rank ◽  
Dense Subgroups

A strong approximation for some non-stationary complex Gaussian processes

1981 ◽  
Vol 18 (2) ◽  
pp. 390-402 ◽  
Author(s):  
Peter Breuer
Keyword(s):  
Rate Of Convergence ◽  
Gaussian Processes ◽  
Strong Approximation ◽  
Approximation Theorem ◽  
Explicit Rate ◽  
Complex Valued ◽  
Strong Approximation Theorem

A strong approximation theorem is proved for some non-stationary complex-valued Gaussian processes and an explicit rate of convergence is achieved. The result answers a problem raised by S. Csörgő.

Non-Lebesgue measurability of finite unions of Vitali selectors related to different groups

2021 ◽  
Vol 127 (3) ◽  
Author(s):  
Venuste Nyagahakwa ◽  
Gratien Haguma
Keyword(s):  
Topological Group ◽  
Finite Union ◽  
Affine Transformations ◽  
Real Numbers ◽  
Group Isomorphism ◽  
Lebesgue Measurability ◽  
Dense Subgroups

In this paper, we prove that each topological group isomorphism of the additive topological group $(\mathbb{R},+)$ of real numbers onto itself preserves the non-Lebesgue measurability of Vitali selectors of $\mathbb{R}$. Inspired by Kharazishvili's results, we further prove that each finite union of Vitali selectors related to different countable dense subgroups of $(\mathbb{R}, +)$, is not measurable in the Lebesgue sense. From here, we produce a semigroup of sets, for which elements are not measurable in the Lebesgue sense. We finally show that the produced semigroup is invariant under the action of the group of all affine transformations of $\mathbb{R}$ onto itself.

Embeddings of maximal tori in classical groups over local and global fields

2016 ◽  
Vol 80 (4) ◽  
pp. 17-34 ◽  
Author(s):  
Eva Bayer-Fluckiger ◽  
Eva Bayer-Fluckiger ◽  
Ting-Yu Lee ◽  
Ting-Yu Lee ◽  
Raman Parimala ◽  
...  
Keyword(s):  
Classical Groups ◽  
Global Fields ◽  
Maximal Tori
Sign in / Sign up

Export Citation Format

Share Document