Conjugation of semisimple subgroups over real number fields of bounded degree
Borovoi, M., Daw, C.
It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1090/proc/14505 Abstract/SummaryLet 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.
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