Viktor Petrov, Anastasia Stavrova: Tits indices over semilocal rings,

Submission: 2008, Jul 16

We present a simplified version of Tits' proof of the classification of semisimple algebraic groups, which remains valid over semilocal rings. We also provide explicit conditions on anisotropic groups to appear as anisotropic kernels of semisimple groups of a given index.

2000 Mathematics Subject Classification: 20G15; 20G35

Keywords and Phrases: semisimple algebraic groups; Tits index; Tits algebras

Full text: dvi.gz 84 k, dvi 364 k, ps.gz 966 k, pdf.gz 312 k, pdf 349 k.

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