Algebraic & Geometric Topology

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

Joanna Jakus

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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].

Article information

Source
Algebr. Geom. Topol., Volume 13, Number 5 (2013), 3031-3045.

Dates
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
https://projecteuclid.org/euclid.agt/1513715699

Digital Object Identifier
doi:10.2140/agt.2013.13.3031

Mathematical Reviews number (MathSciNet)
MR3116312

Zentralblatt MATH identifier
1273.20039

Subjects
Primary: 20F69: Asymptotic properties of groups

Keywords
asymptotic hereditary asphericity free product HNN extension

Citation

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


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References

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