Journal article
Geometry of infinitely presented small cancellation groups and quasi-homomorphisms
- Abstract:
- We study the geometry of inûnitely presented groups satisfying the small cancellation condition C′(1/8), and introduce a standard decomposition (called the criss-cross decomposition) for the elements of such groups. Our method yields a direct construction of a linearly independent set of power continuum in the kernel of the comparison map between the bounded and the usual group cohomology in degree 2, without the use of free subgroups and extensions.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
-
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(Preview, Accepted manuscript, pdf, 749.1KB, Terms of use)
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- Publisher copy:
- 10.4153/CJM-2018-036-7
Authors
+ French National Research Agency
More from this funder
- Funding agency for:
- Drutu, C
- Grant:
- EP/K032208/1
+ Engineering and Physical Sciences Research Council
More from this funder
- Funding agency for:
- Drutu, C
- Grant:
- EP/K032208/1
- Publisher:
- Canadian Mathematical Society
- Journal:
- Canadian Journal of Mathematics More from this journal
- Volume:
- 71
- Issue:
- 5
- Pages:
- 997-1018
- Publication date:
- 2018-12-26
- Acceptance date:
- 2018-08-13
- DOI:
- EISSN:
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1496-4279
- ISSN:
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0008-414X
- Keywords:
- Pubs id:
-
pubs:369814
- UUID:
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uuid:55a8a56f-5b72-4676-90d8-b098b1a7dbb7
- Local pid:
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pubs:369814
- Source identifiers:
-
369814
- Deposit date:
-
2018-09-20
Terms of use
- Copyright holder:
- Canadian Mathematical Society
- Copyright date:
- 2018
- Notes:
- © 2018 Canadian Mathematical Society. All rights reserved. This is the accepted manuscript version of the article. The final version is available online from Canadian Mathematical Society at: https://doi.org/10.4153/CJM-2018-036-7
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