• Coherence for elementary amena...

Treffer: Coherence for elementary amenable groups

Title:
Coherence for elementary amenable groups
Authors:
Hughes, S, Kielak, D, Kropholler, PH, Leary, IJ
Source:
Proceedings of the American Mathematical Society
Publication Status:
Preprint
Publisher Information:
American Mathematical Society (AMS), 2024.
Publication Year:
2024
Subject Terms:
Homological methods in group theory, Generalizations of solvable and nilpotent groups, finitely presented group, Means on groups, semigroups, etc, amenable groups, Mathematics - Rings and Algebras, Group Theory (math.GR), 01 natural sciences, Rings and Algebras (math.RA), 0103 physical sciences, FOS: Mathematics, elementary amenable group, 20F19, 16P70, 20J05, 20J06, 43A07, Chain conditions on other classes of submodules, ideals, subrings, etc, coherence (associative rings and algebras), coherent group, Cohomology of groups, 0101 mathematics, Mathematics - Group Theory, coherent ring
Document Type:
Fachzeitschrift Article
File Description:
application/xml; text
Language:
English
ISSN:
1088-6826
0002-9939
DOI:
10.1090/proc/16656
DOI:
10.48550/arxiv.2302.03346
Access URL:
http://arxiv.org/abs/2302.03346
https://zbmath.org/7805274
https://doi.org/10.1090/proc/16656
https://ora.ox.ac.uk/objects/uuid:6a9c6fb8-a07a-4b15-b26a-90675cb57fea
https://eprints.soton.ac.uk/481811/
Rights:
arXiv Non-Exclusive Distribution
URL: https://www.ams.org/publications/copyright-and-permissions
Accession Number:
edsair.doi.dedup.....15bfee9c68fac5c5cc9f0c8a3fe36d4b
Database:
OpenAIRE

Weitere Informationen

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.