1Department of Mathematics, University of Hamburg, Hamburg, Germany
Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 3, pp. 947-954
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Babak Miraftab; Konstantinos Stavropoulos; Babak Miraftab; Konstantinos Stavropoulos. Splitting groups with cubic Cayley graphs of connectivity two. Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 3, pp. 947-954. http://geodesic.mathdoc.fr/item/AMUC_2019_88_3_a91/
@article{AMUC_2019_88_3_a91,
author = {Babak Miraftab and Konstantinos Stavropoulos and Babak Miraftab and Konstantinos Stavropoulos},
title = { Splitting groups with cubic {Cayley} graphs of connectivity two},
journal = {Acta mathematica Universitatis Comenianae},
pages = {947--954},
year = {2019},
volume = {88},
number = {3},
url = {http://geodesic.mathdoc.fr/item/AMUC_2019_88_3_a91/}
}
TY - JOUR
AU - Babak Miraftab
AU - Konstantinos Stavropoulos
AU - Babak Miraftab
AU - Konstantinos Stavropoulos
TI - Splitting groups with cubic Cayley graphs of connectivity two
JO - Acta mathematica Universitatis Comenianae
PY - 2019
SP - 947
EP - 954
VL - 88
IS - 3
UR - http://geodesic.mathdoc.fr/item/AMUC_2019_88_3_a91/
ID - AMUC_2019_88_3_a91
ER -
%0 Journal Article
%A Babak Miraftab
%A Konstantinos Stavropoulos
%A Babak Miraftab
%A Konstantinos Stavropoulos
%T Splitting groups with cubic Cayley graphs of connectivity two
%J Acta mathematica Universitatis Comenianae
%D 2019
%P 947-954
%V 88
%N 3
%U http://geodesic.mathdoc.fr/item/AMUC_2019_88_3_a91/
%F AMUC_2019_88_3_a91
A group $G$ splits over a subgroup $C$ if $G$ is either a free product with amalgamation $A \underset{C}{\ast} B$ or an HNN-extension $G=A \underset{C}{\ast} (t)$. We invoke tree-decompositions and Bass-Serre theory, and classify all infinite groups which admit cubic Cayley graphs of connectivity two in terms of splittings over a subgroup.
