AN ARITHMETIC FINITENESS THEOREM ON REDUCTIVE GROUPS

Authors
GILLE P
Citation
P. Gille, AN ARITHMETIC FINITENESS THEOREM ON REDUCTIVE GROUPS, Consensus development conference summaries, 316(7), 1993, pp. 701-704
Citations number
11
Journal title
Consensus development conference summaries → ACNP
ISSN journal
07374674
Volume
316
Issue
7
Year of publication
1993
Pages
701 - 704
Database
ISI
SICI code
0737-4674(1993)316:7<701:AAFTOR>2.0.ZU;2-K
Abstract
Let k be a number field and G be an algebraic reductive group defined over k. Let R=R(k, G) be the normal subgroup of G(k) generated by the rational points g of G such that there exists g(t) in G(k(t)) satisfyi ng g(0)=1 and g(1)=0. We show that G(k)/R is a finite group.