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dc.contributor.author
Alsaody, Seidon  
dc.contributor.author
Chernousov, Vladimir  
dc.contributor.author
Pianzola, Arturo  
dc.date.available
2022-08-22T13:55:45Z  
dc.date.issued
2021-11  
dc.identifier.citation
Alsaody, Seidon; Chernousov, Vladimir; Pianzola, Arturo; On the Tits-Weiss conjecture and the Kneser-Tits conjecture for E_78^ 7,1 and E_78^8,2 (With an Appendix by R. M. Weiss); Cambridge University Press; Forum of Mathematics, Sigma; 9; e75; 11-2021; 1-25  
dc.identifier.uri
http://hdl.handle.net/11336/166211  
dc.description.abstract
We prove that the structure group of any Albert algebra over an arbitrary field is R-trivial. This implies the Tits-Weiss conjecture for Albert algebras and the Kneser-Tits conjecture for isotropic groups of type E78 7,1 and E78 8,2. As a further corollary, we show that some standard conjectures on the groups of R-equivalence classes in algebraic groups and the norm principle are true for strongly inner forms of type 1E6.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Cambridge University Press  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by/2.5/ar/  
dc.subject
Tits-Weiss Conjecture  
dc.subject
Kneser-Tits  
dc.subject
Albert Algebras  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
On the Tits-Weiss conjecture and the Kneser-Tits conjecture for E_78^ 7,1 and E_78^8,2 (With an Appendix by R. M. Weiss)  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2022-08-19T14:44:01Z  
dc.identifier.eissn
2050-5094  
dc.journal.volume
9  
dc.journal.number
e75  
dc.journal.pagination
1-25  
dc.journal.pais
Reino Unido  
dc.journal.ciudad
Cambridge  
dc.description.fil
Fil: Alsaody, Seidon. Uppsala Universitet.; Suecia  
dc.description.fil
Fil: Chernousov, Vladimir. University of Alberta; Canadá  
dc.description.fil
Fil: Pianzola, Arturo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Centro de Altos Estudios en Ciencias Exactas; Argentina. University of Alberta; Canadá  
dc.journal.title
Forum of Mathematics, Sigma  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/forum-of-mathematics-sigma/article/on-the-titsweiss-conjecture-and-the-knesertits-conjecture-for-mathrm-e7871-and-mathrm-e7882-with-an-appendix-by-r-m-weiss/BA96C697C833167A625F0FEC545AB93A  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1017/fms.2021.65  

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