Conjugation of semisimple subgroups over real number fields of bounded degree

Borovoi, M., Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 and Ren, J. (2021) Conjugation of semisimple subgroups over real number fields of bounded degree. Proceedings of the American Mathematical Society, 149. pp. 4973-4984. ISSN 0002-9939 doi: 10.1090/proc/14505

Abstract/Summary

Let G be a linear algebraic group over a field k of characteristic 0. We show that any two connected semisimple k-subgroups of G that are conjugate over an algebraic closure of k are actually conjugate over a finite field extension of k of degree bounded independently of the subgroups. Moreover, if k is a real number field, we show that any two connected semisimple k-subgroups of G that are conjugate over the field of real numbers are actually conjugate over a finite real extension of k of degree bounded independently of the subgroups.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/81103
Identification Number/DOI	10.1090/proc/14505
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	American Mathematical Society
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