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

Waldemar Holubowski; Olga Macedońska

doi:10.4171/RSMUP/46

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

Waldemar Holubowski
, Olga Macedońska

Katedra Matematyki (RMS/RMS1)

Silesian University of Technology

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

Abstrakt

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.

Język oryginału	angielski
Strony (od–do)	247-250
Liczba stron	4
Czasopismo	Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova
Tom	143
Identyfikatory DOI	https://doi.org/10.4171/RSMUP/46
Status publikacji	Opublikowano - 2020

Obszary tematyczne ASJC Scopus

Analiza
Algebra i teoria liczb
Fizyka matematyczna
Geometria i topologia

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10.4171/RSMUP/46

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Cytowanie

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title = "Milnor{\textquoteright}s alternative for finitely generated relatively free groups that are locally graded",

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.",

keywords = "Group{\textquoteright}s growth, Milnor property",

author = "Waldemar Holubowski and Olga Macedo{\'n}ska",

year = "2020",

doi = "10.4171/RSMUP/46",

language = "English",

volume = "143",

pages = "247--250",

journal = "Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova",

issn = "0041-8994",

publisher = "European Mathematical Society Publishing House",

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TY - JOUR

T1 - Milnor’s alternative for finitely generated relatively free groups that are locally graded

AU - Holubowski, Waldemar

AU - Macedońska, Olga

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - Group’s growth

KW - Milnor property

UR - https://www.scopus.com/pages/publications/85090368618

U2 - 10.4171/RSMUP/46

DO - 10.4171/RSMUP/46

M3 - Article

AN - SCOPUS:85090368618

SN - 0041-8994

VL - 143

SP - 247

EP - 250

JO - Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova

JF - Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova

ER -

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

Abstrakt

Obszary tematyczne ASJC Scopus

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