Geodesic
Weak asymptotic hereditary asphericity for free product and HNN extension of groups
Jakus, Joanna1
1Instytut Matematyczny, Uniwersytet Wrocławski, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
Algebraic and Geometric Topology, Tome 13 (2013) no. 5, pp. 3031-3045
Cet article a éte moissonné depuis la source Mathematical Sciences Publishers

Voir la notice de l'article

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].

DOI : 10.2140/agt.2013.13.3031
Keywords: asymptotic hereditary asphericity, free product, HNN extension

Jakus, Joanna  1

1 Instytut Matematyczny, Uniwersytet Wrocławski, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland 
@article{10_2140_agt_2013_13_3031,
     author = {Jakus, Joanna},
     title = {Weak asymptotic hereditary asphericity for free product and {HNN} extension of groups},
     journal = {Algebraic and Geometric Topology},
     pages = {3031--3045},
     year = {2013},
     volume = {13},
     number = {5},
     doi = {10.2140/agt.2013.13.3031},
     url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2013.13.3031/}
}
TY  - JOUR
AU  - Jakus, Joanna
TI  - Weak asymptotic hereditary asphericity for free product and HNN extension of groups
JO  - Algebraic and Geometric Topology
PY  - 2013
SP  - 3031
EP  - 3045
VL  - 13
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.2140/agt.2013.13.3031/
DO  - 10.2140/agt.2013.13.3031
ID  - 10_2140_agt_2013_13_3031
ER  - 
%0 Journal Article
%A Jakus, Joanna
%T Weak asymptotic hereditary asphericity for free product and HNN extension of groups
%J Algebraic and Geometric Topology
%D 2013
%P 3031-3045
%V 13
%N 5
%U http://geodesic.mathdoc.fr/articles/10.2140/agt.2013.13.3031/
%R 10.2140/agt.2013.13.3031
%F 10_2140_agt_2013_13_3031
Jakus, Joanna. Weak asymptotic hereditary asphericity for free product and HNN extension of groups. Algebraic and Geometric Topology, Tome 13 (2013) no. 5, pp. 3031-3045. doi: 10.2140/agt.2013.13.3031

[1] J W Cannon, Geometric group theory, from: "Handbook of geometric topology" (editors R J Daverman, R B Sher), North-Holland (2002) 261

[2] A Hatcher, Algebraic topology, Cambridge Univ. Press (2002)

[3] T Januszkiewicz, J Światkowski, Filling invariants of systolic complexes and groups, Geom. Topol. 11 (2007) 727

[4] D Osajda, J Światkowski, On asymptotically hereditarily aspherical groups

[5] J Zubik, Asymptotic hereditary asphericity of metric spaces of asymptotic dimension 1, Topology Appl. 157 (2010) 2815

Cité par Sources :