Journal article icon

Journal article

Commensurations of subgroups of Out(FN)

Abstract:

A theorem of Farb and Handel [FH07] asserts that for N ≥ 4, the natural inclusion from Out(FN ) into its abstract commensurator is an isomorphism. We give a new proof of their result, which enables us to generalize it to the case where N = 3. More generally, we give sufficient conditions on a subgroup Γ of Out(FN ) ensuring that its abstract commensurator Comm(Γ) is isomorphic to its relative commensurator in Out(FN ). In particular, we prove that the abstract commensurator of the Torelli sub...

Expand abstract
Publication status:
Published
Peer review status:
Peer reviewed

Actions


Access Document


Files:
Publisher copy:
10.1090/tran/7991

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0001-9274-3474
Publisher:
American Mathematical Society
Journal:
Transactions of the American Mathematical Society More from this journal
Volume:
373
Issue:
4
Article number:
2699-2742
Publication date:
2020-01-23
Acceptance date:
2019-08-22
DOI:
EISSN:
1088-6850
ISSN:
0002-9947
Language:
English
Pubs id:
pubs:983287
UUID:
uuid:b3d4087b-9f82-483f-a9f5-dd28063715c9
Local pid:
pubs:983287
Source identifiers:
983287
Deposit date:
2019-08-22

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP