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Graph-wreath products and finiteness conditions

Graph-wreath products and finiteness conditions
Graph-wreath products and finiteness conditions
A notion of graph-wreath product is introduced. We obtain sufficient conditions for these products to satisfy the topologically inspired finiteness condition type Fn. Under various additional assumptions we show that these conditions are necessary. Our results generalise results of Cornulier about wreath products in case n=2. Graph-wreath products include classical permutational wreath products and semidirect products of right-angled Artin groups by groups of automorphisms amongst others.
422-434
Kropholler, Peter
0a2b4a66-9f0d-4c52-8541-3e4b2214b9f4
Martino, Armando
65f1ff81-7659-4543-8ee2-0a109be286f1
Kropholler, Peter
0a2b4a66-9f0d-4c52-8541-3e4b2214b9f4
Martino, Armando
65f1ff81-7659-4543-8ee2-0a109be286f1

Kropholler, Peter and Martino, Armando (2016) Graph-wreath products and finiteness conditions. Journal of Pure and Applied Algebra, 220 (1), 422-434. (doi:10.1016/j.jpaa.2015.07.001).

Record type: Article

Abstract

A notion of graph-wreath product is introduced. We obtain sufficient conditions for these products to satisfy the topologically inspired finiteness condition type Fn. Under various additional assumptions we show that these conditions are necessary. Our results generalise results of Cornulier about wreath products in case n=2. Graph-wreath products include classical permutational wreath products and semidirect products of right-angled Artin groups by groups of automorphisms amongst others.

Text
graphwreath_June2015v3.pdf - Accepted Manuscript
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More information

Accepted/In Press date: 12 June 2015
e-pub ahead of print date: 5 August 2015
Published date: January 2016
Related URLs:
Organisations: Mathematical Sciences
Learn more about Mathematical Sciences research

Identifiers

Local EPrints ID: 379536
URI: http://eprints.soton.ac.uk/id/eprint/379536
DOI: doi:10.1016/j.jpaa.2015.07.001
PURE UUID: b8f5bb1c-1d32-48f3-9e89-7f45b1d03d26
ORCID for Peter Kropholler: ORCID iD orcid.org/0000-0001-5460-1512
ORCID for Armando Martino: ORCID iD orcid.org/0000-0002-5350-3029

Catalogue record

Date deposited: 22 Jul 2015 15:27
Last modified: 15 Mar 2024 03:46

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Contributors

Author: Peter Kropholler ORCID iD
Author: Armando Martino ORCID iD

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