Free subgroups of certain one-relator groups defined by positive words

DOI10.1017/S0305004100060527zbMath0512.20015MaRDI QIDQ4750849

Gilbert Baumslag

Publication date: 1983

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

finitely generated free groupone-relator groupsresidually finite groupslower central series2-generator grouppositive words

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Residual properties and generalizations; residually finite groups (20E26) Derived series, central series, and generalizations for groups (20F14)

Related Items

TOWARDS AN IMPLEMENTATION OF THE B–H ALGORITHM FOR RECOGNIZING THE UNKNOT ⋮ Conjugacy separability of some one-relator groups. ⋮ Finite presentability of normal fibre products. ⋮ On the residual finiteness and other properties of (relative) one-relator groups ⋮ VIRTUAL PROPERTIES OF CYCLICALLY PINCHED ONE-RELATOR GROUPS ⋮ On the Automorphisms of Some One-Relator Groups

Cites Work

• On generalised free products
• The topology of discrete groups
• Das Identitätsproblem für Gruppen mit einer definierenden Relation
• Beziehungen zwischen Gruppen und Idealen in einem speziellen Ring
• Commutators in Free Products
• The Subgroups of a Free Product of Two Groups with an Amalgamated Subgroup
• Positive One-Relator Groups
• On the Residual Finiteness of Generalised Free Products of Nilpotent Groups
• The Hopfian property for a class of fundamental groups
• Über freie Faktorgruppen und freie Untergruppen gegebener Gruppen

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