Commensurators of solvable S-arithmetic groups
Group Theory
2016-06-22 v1
Abstract
We show that the abstract commensurator of an S-arithmetic subgroup of a solvable algebraic group over Q is isomorphic to the Q-points of an algebraic group, and compare this with examples of nonlinear abstract commensurators of S-arithmetic groups in positive characteristic. In particular, we include a description of the abstract commensurator of the lamplighter group.
Cite
@article{arxiv.1309.0492,
title = {Commensurators of solvable S-arithmetic groups},
author = {Daniel Studenmund},
journal= {arXiv preprint arXiv:1309.0492},
year = {2016}
}
Comments
15 pages