Invariant random subgroups of semidirect products

Biringer, Ian and Bowen, Lewis and Tamuz, Omer (2017) Invariant random subgroups of semidirect products. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20170712-084843331

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Abstract

We study invariant random subgroups (IRSs) of semidirect products G=A⋊Γ. In particular, we characterize all IRSs of parabolic subgroups of SL_d(R), and show that all ergodic IRSs of R^d⋊SL_d(R) are either of the form R^d⋊K for some IRS of SL_d(R), or are induced from IRSs of Λ⋊SL(Λ), where Λ<R^d is a lattice.

Item Type:

Report or Paper (Discussion Paper)

Related URLs:

URL	URL Type	Description
https://arxiv.org/abs/1703.01282	arXiv	Discussion Paper

ORCID:

Author	ORCID
Tamuz, Omer	0000-0002-0111-0418

Additional Information:

Supported in part by NSF grant DMS-1611851 and CAREER Award DMS-1654114. Supported in part by NSF grant DMS-0968762, NSF CAREER Award DMS-0954606 and BSF grant 2008274. This work was supported by a grant from the Simons Foundation (#419427, Omer Tamuz).

Funders:

Funding Agency	Grant Number
NSF	DMS-1611851
NSF	DMS-1654114
NSF	DMS-0968762
NSF	DMS-0954606
Binational Science Foundation (USA-Israel)	2008274
Simons Foundation	419427

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CaltechAUTHORS:20170712-084843331

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http://resolver.caltech.edu/CaltechAUTHORS:20170712-084843331

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ID Code:

78991

Collection:

CaltechAUTHORS

Deposited By:

Tony Diaz

Deposited On:

12 Jul 2017 17:15

Last Modified:

12 Jul 2017 17:15

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