Timeline for Non-abelian divisible groups

7 events

when toggle format	what		by	license	comment
Mar 21, 2013 at 11:31	answer	added	Shripad		timeline score: 0
Mar 21, 2013 at 10:20	answer	added	Salvo Tringali		timeline score: 0
Mar 8, 2012 at 13:25	vote	accept	Abel Stolz
Mar 7, 2012 at 16:09	comment	added	Benjamin Steinberg		Most of these issues have already been discussed in the following questions: mathoverflow.net/questions/56128/… mathoverflow.net/questions/85236/examples-of-monster-groups
Mar 7, 2012 at 12:45	answer	added	Misha		timeline score: 7
Mar 7, 2012 at 12:32	comment	added	Diego Sulca		Example of nilpotent divisible groups are the radicable subgroups of $U_n(\mathbb{Q})$, the group of upper triangular matrices $n\times n$ matrices with 1s in the diagonal. They can be obtained as $\exp(\mathfrak{g})$ where $\mathfrak{g}$ is a subalgebra of $\mathfrak{u}(n,\mathbb{Q})$, the Lie algebra of strictly upper triangular matrices over $\mathbb{Q}$. These groups do not satisfy your particular conditions by they are of finite rank, that is, for $G$ unipotent and radicable there exists $r$ such that every finitely generated subgroup of $G$ can be generated by $r$ elements.
Mar 7, 2012 at 10:17	history	asked	Abel Stolz	CC BY-SA 3.0