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Dehn functions of coabelian subgroups of direct products of groups

Kropholler, Robert; Llosa Isenrich, Claudio 1
1 Institut für Algebra und Geometrie (IAG), Karlsruher Institut für Technologie (KIT)

Abstract:

We develop new methods for computing the precise Dehn functions of coabelian subgroups of direct products of groups, that is, subgroups which arise as kernels of homomorphisms from the direct product onto a free abelian group. These improve and generalise previous results by Carter and Forester on Dehn functions of level sets in products of simply connected cube complexes, by Bridson on Dehn functions of cocyclic groups and by Dison on Dehn functions of coabelian groups. We then provide several applications of our methods to subgroups of direct products of free groups, to groups with interesting geometric finiteness properties and to subgroups of direct products of right-angled Artin groups.


Verlagsausgabe §
DOI: 10.5445/IR/1000151616
Veröffentlicht am 19.10.2022
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Algebra und Geometrie (IAG)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2022
Sprache Englisch
Identifikator ISSN: 0024-6107, 1469-7750
KITopen-ID: 1000151616
Erschienen in Journal of the London Mathematical Society
Verlag John Wiley and Sons
Band 107
Heft 1
Seiten 123-152
Vorab online veröffentlicht am 08.10.2022
Schlagwörter SUBDIRECT PRODUCTS, FINITENESS PROPERTIES, SIGMA-INVARIANTS
Nachgewiesen in Web of Science
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