Rational conjugacy classes of maximal tori in groups of Dn

dc.contributor.author	Fiori, Andrew
dc.date.accessioned	2021-07-06T16:49:08Z
dc.date.available	2021-07-06T16:49:08Z
dc.date.issued	2021
dc.description	Author original manuscript (preprint)	en_US
dc.description.abstract	We give a concrete characterization of the rational conjugacy classes of maximal tori in groups of type Dn, with specific emphasis on the case of number fields and p-adic fields. This includes the forms associated to quadratic spaces, all of their inner and outer forms as well as the Spin groups, their simply connected covers. In particular, in this work, we handle all (simply connected) outer forms of D4.	en_US
dc.description.peer-review	No	en_US
dc.identifier.citation	Fiori, A. (2021). Rational conjugacy classes of maximal tori in groups of type Dn. Journal of Algebra and its Applications, 20(4), Article 2150063. https://doi.org/10.1142/S0219498821500638	en_US
dc.identifier.uri	https://hdl.handle.net/10133/5944
dc.language.iso	en_US	en_US
dc.publisher	World Scientific	en_US
dc.publisher.department	Department of Mathematics and Computer Science	en_US
dc.publisher.faculty	Arts and Science	en_US
dc.publisher.institution	University of Lethbridge	en_US
dc.publisher.url	https://doi.org/10.1142/S0219498821500638	en_US
dc.subject	Tori	en_US
dc.subject	Orthogonal groups	en_US
dc.subject	Spin groups	en_US
dc.subject	D4	en_US
dc.subject	Triality	en_US
dc.title	Rational conjugacy classes of maximal tori in groups of Dn	en_US
dc.type	Preprint	en_US