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.
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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 
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     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://archive.numdam.org/articles/10.4171/RSMUP/46/}
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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://archive.numdam.org/articles/10.4171/RSMUP/46/

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