Commensurated subgroups of arithmetic groups, totally disconnected groups and adelic rigidity

Abstract

Investigations into and around a 30-year old conjecture of Gregory Margulis and Robert Zimmer on the commensurated subgroups of S-arithmetic groups.

50 pages

References in corpus (3)

• Weakly commensurable arithmetic groups, lengths of closed geodesics and isospectral locally symmetric spaces
• Developments on the congruence subgroup problem after the work of Bass, Milnor and Serre
• Tidy subgroups for commuting automorphisms of totally disconnected groups: an analogue of simultaneous triangularisation of matrices