A theorem on freedom for groups with one defining relation in the variety of polynilpotent groups

DOI10.1007/BF00969165zbMath0614.20026OpenAlexW2025206162MaRDI QIDQ1820241

Yu. A. Kolmakov

Publication date: 1986

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00969165

zbMATH Keywords

one-relator grouplower central seriesfree polynilpotent group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Free nonabelian groups (20E05) Derived series, central series, and generalizations for groups (20F14)

Cites Work

• A FREEDOM THEOREM FOR GROUPS WITH ONE DEFINING RELATION IN THE VARIETIES OF SOLVABLE AND NILPOTENT GROUPS OF GIVEN LENGTHS
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