Constructing arithmetic subgroups of unipotent groups

Details Constructing arithmetic subgroups of unipotent groups Constructing arithmetic subgroups of unipotent groups

2008-06-30

arxiv.org/abs/0806.4916v1

Mathematics

Group Theory

19 pages

Scientific paper

Let G be a unipotent algebraic subgroup of some GL_m(C) defined over Q. We
describe an algorithm for finding a finite set of generators of the subgroup
G(Z) = G \cap GL_m(Z). This is based on a new proof of the result (in more
general form due to Borel and Harish-Chandra) that such a finite generating set
exists.

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