We extend several results of Helfer, Wise, Louder and Wilton related to coherence in one-relator groups to the more general setting of one-relator products of locally indicable groups. The methods developed to do so also give rise to a new proof of a theorem of Brodskiĭ.
Classification :
20-XX, 57-XX
Mots-clés :
Coherence and one-relator products of locally indicable groups
Affiliations des auteurs :
James Howie
1
;
Hamish Short
2
1
Heriot-Watt University, Edinburgh, UK
2
Aix Marseille Université, France
James Howie; Hamish Short. Coherence and one-relator products of locally indicable groups. Groups, geometry, and dynamics, Tome 17 (2023) no. 3, pp. 1085-1113. doi: 10.4171/ggd/725
@article{10_4171_ggd_725,
author = {James Howie and Hamish Short},
title = {Coherence and one-relator products of locally indicable groups},
journal = {Groups, geometry, and dynamics},
pages = {1085--1113},
year = {2023},
volume = {17},
number = {3},
doi = {10.4171/ggd/725},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/725/}
}
TY - JOUR
AU - James Howie
AU - Hamish Short
TI - Coherence and one-relator products of locally indicable groups
JO - Groups, geometry, and dynamics
PY - 2023
SP - 1085
EP - 1113
VL - 17
IS - 3
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/725/
DO - 10.4171/ggd/725
ID - 10_4171_ggd_725
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%A James Howie
%A Hamish Short
%T Coherence and one-relator products of locally indicable groups
%J Groups, geometry, and dynamics
%D 2023
%P 1085-1113
%V 17
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/725/
%R 10.4171/ggd/725
%F 10_4171_ggd_725
