Weak asymptotic hereditary asphericity for free product and HNN extension of groups

Jakus, Joanna

doi:10.2140/agt.2013.13.3031

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Weak asymptotic hereditary asphericity for free product and HNN extension of groups

Joanna Jakus

Algebraic & Geometric Topology 13 (2013) 3031–3045

DOI: 10.2140/agt.2013.13.3031

Abstract

Asymptotic hereditary asphericity (AHA) is a coarse property of metric spaces and groups, introduced by T Januszkiewicz and J Swicatkowski in [Geom. Topol. 11 (2007) 727–758]. Conjecturally, this property is closed under amalgamated free products and HNN extensions over finite subgroups. We prove this conjecture for a slightly weaker property, weak asymptotic hereditary asphericity (AHA(-)), which is still strong enough for the purposes which AHA was used for in [Geom. Topol. 11 (2007) 727–758].

Keywords

asymptotic hereditary asphericity, free product, HNN extension

Mathematical Subject Classification 2000

Primary: 20F69

References

Publication

Received: 7 February 2012

Revised: 23 April 2013

Accepted: 23 April 2013

Published: 31 July 2013

Authors

Joanna Jakus
Instytut Matematyczny Uniwersytet Wrocławski pl. Grunwaldzki 2/4 50-384 Wrocław Poland

Volume 13, issue 5 (2013)