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

Title: Commensurated subgroups of arithmetic groups, totally disconnected groups and adelic rigidity
Creator: Shalom, Yehuda; Willis, George A.
Relation: Geometric and Functional Analysis Vol. 23, Issue 5, p. 1631-1683
Publisher Link: http://dx.doi.org/10.1007/s00039-013-0236-5
Publisher: Springer New York
Resource Type: journal article
Date: 2013
Description: The paper establishes a substantial number of cases of a conjecture regarding commensurated subgroups of S-arithmetic groups made by Margulis and Zimmer in the late 1970s. New results in the structure theory of totally disconnected groups are established along the way and are of independent interest. Other ideas in the argument motivate a sweeping conjecture, presented in the last section of the paper, which naturally unifies in an adelic setting deep results and fundamental conjectures in the rigidity theory of arithmetic groups.
Subject: Gregory Margulis; Robert Zimmer; normal subgroup theorem of Margulis; arithmetic groups
Identifier: http://hdl.handle.net/1959.13/1039861
Identifier: uon:13716
Identifier: ISSN:1016-443X
Rights: The original publication is available at www.springerlink.com
Language: eng
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