Journal article
The Surface Group Conjectures for groups with two generators
- Abstract:
- The Surface Group Conjectures are statements about recognising surface groups among one-relator groups, using either the structure of their finite-index subgroups, or all subgroups. We resolve these conjectures in the two generator case. More generally, we prove that every two-generator one-relator group with every infinite-index subgroup free is itself either free or a surface group.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Accepted manuscript, pdf, 188.3KB, Terms of use)
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- Publisher copy:
- 10.4310/MRL.2023.v30.n1.a5
Authors
- Publisher:
- International Press
- Journal:
- Mathematical Research Letters More from this journal
- Volume:
- 30
- Issue:
- 1
- Pages:
- 109-123
- Publication date:
- 2023-06-21
- Acceptance date:
- 2022-08-04
- DOI:
- EISSN:
-
1945-001X
- ISSN:
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1073-2780
- Language:
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English
- Pubs id:
-
1241837
- Local pid:
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pubs:1241837
- Deposit date:
-
2022-08-04
Terms of use
- Copyright holder:
- International Press
- Copyright date:
- 2023
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from International Press at https://doi.org/10.4310/MRL.2023.v30.n1.a5
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