Journal article

Coherence for elementary amenable groups

Abstract:: We prove that for an elementary amenable group, coherence of the group, homological coherence of the group, and coherence of the integral group ring are all equivalent. This generalises a result of Bieri and Strebel for finitely generated soluble groups.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Hughes, S., Kielak, D., Kropholler, P. H., & Leary, I. J. (2024). Coherence for elementary amenable groups. Proceedings of the American Mathematical Society, 152(03), 977–986.

MLA Style

Hughes, S., et al. “Coherence for Elementary Amenable Groups.” Proceedings of the American Mathematical Society, vol. 152, no. 03, American Mathematical Society, 2024, pp. 977–86.

Chicago Style

Hughes, S, D Kielak, PH Kropholler, and IJ Leary. 2024. “Coherence for Elementary Amenable Groups.” Proceedings of the American Mathematical Society 152 (03): 977–86.
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Files:: Hughes_et_al_2023_Coherence_for_elementary.pdf

(Preview, Accepted manuscript, pdf, 149.0KB, Terms of use)

Publisher copy:: 10.1090/proc/16656

Authors

+ Hughes, S More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author
ORCID:: 0000-0002-9992-4443

+ Kielak, D More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Oxford college:: Hertford College
Role:: Author
ORCID:: 0000-0002-5536-9070

+ Kropholler, PH More by this author

Role:: Author

+ Leary, IJ More by this author

Role:: Author

Publisher:: American Mathematical Society
Journal:: Proceedings of the American Mathematical Society More from this journal
Volume:: 152
Issue:: 03
Pages:: 977-986
Publication date:: 2024-01-11
Acceptance date:: 2023-08-24
DOI:: 10.1090/proc/16656
EISSN:: 1088-6826
ISSN:: 0002-9939

Language:: English
Pubs id:: 1329091
Local pid:: pubs:1329091
Deposit date:: 2023-08-24

Terms of use

Copyright holder:: American Mathematical Society
Copyright date:: 2024
Rights statement:: © 2024 American Mathematical Society.
Notes:: This is the accepted manuscript version of the article. The final version is available online from American Mathematical Society at https://dx.doi.org/10.1090/proc/16656

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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