Journal article
Controlled embeddings into groups that have no non-trivial finite quotients
- Abstract:
- If a class of finitely generated groups Curly(G) is closed under isometric amalgamations along free subgroups, then every G in Curly(G) can be quasi-isometrically embedded in a group Hat(G) in Curly(G) that has no proper subgroups of finite index. Every compact, connected, non-positively curved space X admits an isometric embedding into a compact, connected, non-positively curved space Overline(X) such that Overline(X) has no non-trivial finite-sheeted coverings.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 219.0KB, Terms of use)
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- Publisher copy:
- 10.2140/gtm.1998.1.99
Authors
- Publisher:
- Mathematical Sciences Publishers
- Journal:
- Geometry & Topology Monographs More from this journal
- Volume:
- 1
- Pages:
- 99-116
- Publication date:
- 1999-01-01
- DOI:
- EISSN:
-
1464-8997
- ISSN:
-
1464-8989
- Keywords:
- Pubs id:
-
pubs:146980
- UUID:
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uuid:2915f518-e05e-4543-bb13-ca9503b4ddce
- Local pid:
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pubs:146980
- Deposit date:
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2016-10-20
Terms of use
- Copyright holder:
- Mathematical Sciences Publishers
- Copyright date:
- 1999
- Notes:
-
This is the
publisher's version of a journal article first published in Geometry & Topology Monographs in volume 1, 1998, published by Mathematical Sciences Publishers, available online http://dx.doi.org/10.2140/gtm.1998.1.99
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