Weakly commensurable groups, with applications to differential geometry
G Prasad, AS Rapinchuk�- arXiv preprint arXiv:1307.1479, 2013 - arxiv.org
G Prasad, AS Rapinchuk
arXiv preprint arXiv:1307.1479, 2013•arxiv.orgThe 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.
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.
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.
arxiv.org