Weakly commensurable groups, with applications to differential geometry
Group Theory
2013-11-25 v2 Differential Geometry
Number Theory
Abstract
The article contains a survey of our results on weakly commensurable arithmetic and general Zariski-dense subgroups, length-commensurable and isospectral locally symmetric spaces and of related problems in the theory of semi-simple agebraic groups. We have included a discussion of very recent results and conjectures on absolutely almost simple algebraic groups having the same maximal tori and finite-dimensional division algebras having the same maximal subfields.
Keywords
Cite
@article{arxiv.1307.1479,
title = {Weakly commensurable groups, with applications to differential geometry},
author = {Gopal Prasad and Andrei S. Rapinchuk},
journal= {arXiv preprint arXiv:1307.1479},
year = {2013}
}
Comments
Improved exposition, updated bibliography. arXiv admin note: substantial text overlap with arXiv:1212.1217