Thin group (algebraic group theory)
id:
thin-group-algebraic-group-theory-312-14761488
title:
Thin group (algebraic group theory)
text:
In algebraic group theory, a thin group is a discrete Zariski-dense subgroup of G(R) that has infinite covolume, where G is a semisimple algebraic group over the reals. This is in contrast to a lattice, which is a discrete subgroup of finite covolume. The theory of "group expansion" for particular thin groups has been applied to arithmetic properties of Apollonian circles and in Zaremba's conjecture.
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Thin_group_(algebraic_group_theory)
date created:
date modified:
2023-08-13T12:24:29Z
main entity:
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fields total:
13
integrity:
13