Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Chernousov, P. I."'
We provide a new condition for an absolutely almost simple algebraic group to have good reduction with respect to a discrete valuation of the base field which is formulated in terms of the existence of maximal tori with special properties. This chara
Externí odkaz:
http://arxiv.org/abs/2112.04315
We prove that the genus of a finite-dimensional division algebra is finite whenever the center is a finitely generated field of any characteristic. We also discuss potential applications of our method to other problems, including the finiteness of th
Externí odkaz:
http://arxiv.org/abs/1802.00299
Publikováno v:
Compositio Math. 155 (2019) 484-527
Let $K$ be a 2-dimensional global field of characteristic $\neq 2$, and let $V$ be a divisorial set of places of $K$. We show that for a given $n \geqslant 5$, the set of $K$-isomorphism classes of spinor groups $G = \mathrm{Spin}_n(q)$ of nondegener
Externí odkaz:
http://arxiv.org/abs/1707.08062
Akademický článek
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Let D be a central division algebra of degree n over a field K. One defines the genus gen(D) of D as the set of classes [D'] in the Brauer group Br(K) of K represented by central division algebras D' of degree n over K having the same maximal subfiel
Externí odkaz:
http://arxiv.org/abs/1509.02360
We give a survey of recent results related to the problem of characterizing finite-dimensional division algebras by the set of isomorphism classes of their maximal subfields. We also discuss various generalizations of this problem and some of its app
Externí odkaz:
http://arxiv.org/abs/1501.04027
Let D be a finite-dimensional central division algebra over a field K. We define the genus gen(D) of D to be the collection of classes in the Brauer group of K represented by central division K-algebras D' having the same maximal subfields as D. In t
Externí odkaz:
http://arxiv.org/abs/1303.0390
Publikováno v:
Coke & Chemistry; Feb2024, Vol. 67 Issue 2, p86-93, 8p
Publikováno v:
Coke & Chemistry; Dec2023, Vol. 66 Issue 12, p603-612, 10p
Autor:
Chernousov, P. I.1 (AUTHOR) p.chernou@yandex.ru, Seregin, S. N.2 (AUTHOR), Grishin, R. E.1 (AUTHOR), Tsvily, Ya. S.1 (AUTHOR)
Publikováno v:
Metallurgist. Mar2022, Vol. 65 Issue 11/12, p1212-1220. 9p.