B. Margaux: The structure of the group G(k[t]): Variations on a theme of Soulé.

benedictus.margaux@gmail.com

Submission: 2007, Nov 16, revised: 2008, Nov 16

Following Soulé's ideas we give a presentation of the abstract group G(k[t] for any semisimple simply connected group absolutely almost k-simple group G. As an applications, we give a description of G(k[t]) in terms of direct limits, and show that the Whitehead group and the na´ve group of connected components of G coincide.

2000 Mathematics Subject Classification: 20G10, 22

Keywords and Phrases: Bruhat-Tits buildings, arithmetic groups, simplicial fundamental domain.

Full text: dvi.gz 12 k, dvi 25 k, ps.gz 582 k, pdf.gz 82 k, pdf 99 k.


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