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

DOI10.4171/RSMUP/46zbMath1481.20112OpenAlexW3028482737MaRDI QIDQ776986

Olga Macedońska, Waldemar Hołubowski

Publication date: 13 July 2020

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rsmup/46

zbMATH Keywords

group's growthMilnor property

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Residual properties and generalizations; residually finite groups (20E26)

Cites Work

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• Elementary amenable groups
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Groups satisfying semigroup laws, and nilpotent-by-Burnside varieties
• Combinatorial conditions in residually finite groups. I
• Growth of finitely generated solvable groups
• Free subgroups in linear groups
• A Property of Groups of Nonexponential Growth
• Weak Maximality Condition and Polycyclic Groups
• Milnor identities

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