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Strongly inner anisotropic forms of simple algebraic groups. (English) Zbl 0697.20029

This paper answers a question left open in the author’s classification table [in Proc. Symp. Pure Math. 9, 33-62 (1966; Zbl 0238.20052)]. More precisely, if, over a given field k, there is a central division algebra of dimension 16 and of order 4 in the Brauer group, then there is a group of type \(E^{123}_{8,1}\) over k(t).

MSC:

20G15 Linear algebraic groups over arbitrary fields
16Kxx Division rings and semisimple Artin rings

Citations:

Zbl 0238.20052
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References:

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