The genus of a division algebra and the unramified Brauer group

Vladimir Chernousov, Andrei S. Rapinchuk, Igor A. Rapinchuk

Type: Preprint

Publication Date: 2013-03-02

Citations: 3

Locations

arXiv (Cornell University) - View

Similar Works

Action	Title	Year	Authors
+	The genus of a division algebra and the unramified Brauer group	2013	Vladimir Chernousov Andrei S. Rapinchuk Igor A. Rapinchuk
+ PDF Chat	The genus of a division algebra and the unramified Brauer group	2013	Vladimir Chernousov Andrei S. Rapinchuk Igor A. Rapinchuk
+	On the size of the genus of a division algebra	2015	Vladimir Chernousov Andrei S. Rapinchuk Igor A. Rapinchuk
+ PDF Chat	On the Size of the Genus of a Division Algebra	2016	Vladimir Chernousov Andrei S. Rapinchuk Igor A. Rapinchuk
+	On the genus of a division algebra	2012	Vladimir Chernousov Andrei S. Rapinchuk Igor A. Rapinchuk
+ PDF Chat	On the size of the genus of a division algebra	2016	Vladimir Chernousov Andrei S. Rapinchuk Igor A. Rapinchuk
+	Division algebras of prime degree with infinite genus	2014	Sergey V. Tikhonov
+	Division algebras of prime degree with infinite genus	2014	Sergey V. Tikhonov
+ PDF Chat	Division algebras of prime degree with infinite genus	2016	Sergey V. Tikhonov
+ PDF Chat	Genus of division algebras over fields with infinite transcendence degree	2024	Sergey V. Tikhonov
+	The finiteness of the genus of a finite-dimensional division algebra, and some generalizations	2018	Vladimir Chernousov Andrei S. Rapinchuk Igor A. Rapinchuk
+	The finiteness of the genus of a finite-dimensional division algebra, and some generalizations	2018	Vladimir Chernousov Andrei S. Rapinchuk Igor A. Rapinchuk
+	The genus of division algebras over discrete valued fields	2023	S. Srimathy
+ PDF Chat	The finiteness of the genus of a finite-dimensional division algebra, and some generalizations	2020	Vladimir Chernousov Andrei S. Rapinchuk Igor A. Rapinchuk
+	Galois groups and division algebras	1976	Burton Fein Murray Schacher
+	Division algebras graded by a finite group	2019	Eli Aljadeff Darrell Haile Yakov Karasik
+	Division algebras graded by a finite group	2019	Eli Aljadeff Darrell Haile Yakov Karasik
+	The Brauer group of the centers of generic division algebras	1999	David J. Saltman
+	𝑆𝐾₁ of division algebras and Galois cohomology	1991	Andrei Suslin
+	On the arithmetic of modified idèle class groups	2019	Wan Lee Soogil Seo

Works That Cite This (3)

Action	Title	Year	Authors
+ PDF Chat	HENSELIAN VALUED QUASILOCAL FIELDS WITH TOTALLY INDIVISIBLE VALUE GROUPS	2015
+ PDF Chat	Examples of Algebraic Groups of Type G_2 Having the Same Maximal Tori	2016	Constantin N. Beli Philippe Gille T.-Y. Lee
+ PDF Chat	Spinor groups with good reduction	2019	Vladimir Chernousov Andrei S. Rapinchuk Igor A. Rapinchuk

Works Cited by This (10)

Action	Title	Year	Authors
+	Generic elements in Zariski-dense subgroups and isospectral locally symmetric spaces	2012	Gopal Prasad Andrei S. Rapinchuk
+ PDF Chat	Weakly commensurable arithmetic groups and isospectral locally symmetric spaces	2009	Gopal Prasad Andrei S. Rapinchuk
+	Algebraic groups and number theory	1992	В. П. Платонов Andrei S. Rapinchuk
+	On the genus of a division algebra	2012	Vladimir Chernousov Andrei S. Rapinchuk Igor A. Rapinchuk
+	Fundamentals of Diophantine Geometry	1983	Serge Lang
+	On the corestriction of central simple algebras	1987	Jean-Pierre Tignol
+	Lectures on Division Algebras	1999	David J. Saltman
+	Strong Approximation for Zariski-dense Subgroups of Semi-Simple Algebraic Groups	1984	Boris Weisfeiler
+	On the fields generated by the lengths of closed geodesics in locally symmetric spaces	2011	Gopal Prasad Andrei S. Rapinchuk
+ PDF Chat	Division algebras with infinite genus	2014	Jeffrey S. Meyer