Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 13, Number 5 (2013), 3031-3045.
Weak asymptotic hereditary asphericity for free product and HNN extension of groups
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].
Algebr. Geom. Topol., Volume 13, Number 5 (2013), 3031-3045.
Received: 7 February 2012
Revised: 23 April 2013
Accepted: 23 April 2013
First available in Project Euclid: 19 December 2017
Permanent link to this document
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 20F69: Asymptotic properties of groups
Jakus, Joanna. Weak asymptotic hereditary asphericity for free product and HNN extension of groups. Algebr. Geom. Topol. 13 (2013), no. 5, 3031--3045. doi:10.2140/agt.2013.13.3031. https://projecteuclid.org/euclid.agt/1513715699