Journal article
On twoโgenerator subgroups of mapping torus groups
- Abstract:
- We prove that if ๐บ๐ = โจ๐น, ๐ก|๐ก๐ฅ๐ก โ1 = ๐(๐ฅ), ๐ฅ โ ๐นโฉ is themapping torus group of an injective endomorphism ๐ โถ๐น โ ๐น of a free group ๐น (of possibly infinite rank), thenevery two-generator subgroup ๐ป of ๐บ๐ is either free or a(finitary) sub-mapping torus. As an application we showthat if ๐ โ Out(๐น๐ ) is a fully irreducible atoroidal auto-morphism, then every two-generator subgroup of ๐บ๐ iseither free or has finite index in ๐บ๐.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
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- Files:
-
-
(Preview, Accepted manuscript, pdf, 381.3KB, Terms of use)
-
- Publisher copy:
- 10.1112/jlms.70226
Authors
+ U.S. National Science Foundation
More from this funder
- Funder identifier:
- https://ror.org/021nxhr62
- Grant:
- DMSโ1905641
- Publisher:
- Wiley
- Journal:
- Journal of the London Mathematical Society More from this journal
- Volume:
- 112
- Issue:
- 1
- Article number:
- e70226
- Publication date:
- 2025-07-08
- Acceptance date:
- 2025-06-21
- DOI:
- EISSN:
-
1469-7750
- ISSN:
-
0024-6107
- Language:
-
English
- Pubs id:
-
2242582
- Local pid:
-
pubs:2242582
- Deposit date:
-
2025-07-25
Terms of use
- Copyright holder:
- Andrew et al
- Copyright date:
- 2025
- Rights statement:
- ยฉ 2025 The Author(s). The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.
- Notes:
- The author accepted manuscript (AAM) of this paper has been made available under the University of Oxford's Open Access Publications Policy, and a CC BY public copyright licence has been applied.
- Licence:
- CC Attribution (CC BY)
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