Milnor’s alternative for finitely generated relatively free groups that are locally graded

Waldemar Holubowski; Olga Macedońska

doi:10.4171/rsmup/46

JournalsrsmupVol. 143pp. 247–250

Milnor’s alternative for finitely generated relatively free groups that are locally graded

Waldemar Holubowski
Silesian University of Technology, Gliwice, Poland
Olga Macedońska
Silesian University of Technology, Gliwice, Poland

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Abstract

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.

Cite this article

Waldemar Holubowski, Olga Macedońska, Milnor’s alternative for finitely generated relatively free groups that are locally graded. Rend. Sem. Mat. Univ. Padova 143 (2020), pp. 247–250

DOI 10.4171/RSMUP/46