Geodesic
On geometric aspects of diffuse groups. With an appendix by Nathan Dunfield.
Documenta mathematica, Tome 21 (2016), pp. 873-915
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

Bowditch introduced the notion of diffuse groups as a geometric variation of the unique product property. We elaborate on various examples and non-examples, keeping the geometric point of view from Bowditch's paper. In particular, we discuss fundamental groups of flat and hyperbolic manifolds. Appendix refappendix settles an open question by providing an example of a group which is diffuse but not left-orderable.
DOI : 10.4171/dm/548
Classification : 06F15, 20F65, 22E40, 57M07
Mots-clés : hyperbolic manifolds, orderable groups, discrete subgroups of Lie groups, Bieberbach groups 
@article{10_4171_dm_548,
     author = {Jean Raimbault and Steffen Kionke},
     title = {On geometric aspects of diffuse groups. {With} an appendix by {Nathan} {Dunfield.}},
     journal = {Documenta mathematica},
     pages = {873--915},
     year = {2016},
     volume = {21},
     doi = {10.4171/dm/548},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/548/}
}
TY  - JOUR
AU  - Jean Raimbault
AU  - Steffen Kionke
TI  - On geometric aspects of diffuse groups. With an appendix by Nathan Dunfield.
JO  - Documenta mathematica
PY  - 2016
SP  - 873
EP  - 915
VL  - 21
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/548/
DO  - 10.4171/dm/548
ID  - 10_4171_dm_548
ER  - 
%0 Journal Article
%A Jean Raimbault
%A Steffen Kionke
%T On geometric aspects of diffuse groups. With an appendix by Nathan Dunfield.
%J Documenta mathematica
%D 2016
%P 873-915
%V 21
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/548/
%R 10.4171/dm/548
%F 10_4171_dm_548
Jean Raimbault; Steffen Kionke. On geometric aspects of diffuse groups. With an appendix by Nathan Dunfield.. Documenta mathematica, Tome 21 (2016), pp. 873-915. doi: 10.4171/dm/548

Cité par Sources :