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Conjugation of semisimple subgroups over real number fields of bounded degree

Borovoi, M., Daw, C. and Ren, J. (2018) Conjugation of semisimple subgroups over real number fields of bounded degree. Proceedings of the American Mathematical Society. ISSN 0002-9939

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To link to this item 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
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:81103
Publisher:American Mathematical Society

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