Milnor’s alternative for finitely generated relatively free groups that are locally graded
Holubowski, Waldemar1 ; Macedońska, Olga1
1 Silesian University of Technology, Gliwice, Poland
Rendiconti del Seminario Matematico della Università di Padova, Tome 143 (2020), pp. 247-250.
Le texte intégral des articles récents est réservé aux abonnés de la revue. Consultez l'article sur le site de la revue.

Let G be a finitely generated relatively free group that is locally graded. We show that either G contains a non-trivial free subsemigroup or G is nilpotent-by-finite.

Publié le :
DOI : 10.4171/RSMUP/46
Classification : 20, 00
Mots-clés : Group’s growth, Milnor property
Holubowski, Waldemar 1 ; Macedońska, Olga 1

1 Silesian University of Technology, Gliwice, Poland 
@article{RSMUP_2020__143__247_0,
     author = {Holubowski, Waldemar and Macedo\'nska, Olga},
     title = {Milnor{\textquoteright}s alternative for finitely generated relatively free groups that are locally graded},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {247--250},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {143},
     year = {2020},
     doi = {10.4171/RSMUP/46},
     mrnumber = {4103746},
     zbl = {1481.20112},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/46/}
}
TY  - JOUR
AU  - Holubowski, Waldemar
AU  - Macedońska, Olga
TI  - Milnor’s alternative for finitely generated relatively free groups that are locally graded
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2020
SP  - 247
EP  - 250
VL  - 143
PB  - European Mathematical Society Publishing House
PP  - Zuerich, Switzerland
UR  - http://www.numdam.org/articles/10.4171/RSMUP/46/
DO  - 10.4171/RSMUP/46
ID  - RSMUP_2020__143__247_0
ER  - 
%0 Journal Article
%A Holubowski, Waldemar
%A Macedońska, Olga
%T Milnor’s alternative for finitely generated relatively free groups that are locally graded
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2020
%P 247-250
%V 143
%I European Mathematical Society Publishing House
%C Zuerich, Switzerland
%U http://www.numdam.org/articles/10.4171/RSMUP/46/
%R 10.4171/RSMUP/46
%F RSMUP_2020__143__247_0
Holubowski, Waldemar; Macedońska, Olga. Milnor’s alternative for finitely generated relatively free groups that are locally graded. Rendiconti del Seminario Matematico della Università di Padova, Tome 143 (2020), pp. 247-250. doi : 10.4171/RSMUP/46. http://www.numdam.org/articles/10.4171/RSMUP/46/

Cité par Sources :