VIRTUAL PROPERTIES OF CYCLICALLY PINCHED ONE-RELATOR GROUPS

DOI10.1142/S0218196709005032zbMath1205.20034MaRDI QIDQ3636024

Douglas R. Troeger, Benjamin Fine, Charles F. III Miller, Gilbert Baumslag

Publication date: 30 June 2009

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

free productscyclically pinched one-relator groupsvirtually free-by-cyclic groupsamalgamated products of free groupsone-relator HNN-extensionsvirtually free-by-Abelian groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Generators, relations, and presentations of groups (20F05) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (3)

Hyperbolic surface subgroups of one-ended doubles of free groups ⋮ Faithful real representations of groups of $F$-type ⋮ Special groups with an elementary hierarchy are virtually free-by-\(\mathbb Z\).

Cites Work

• On generalised free products
• Free subgroups of certain one-relator groups defined by positive words
• Residually finite one-relator groups
• Finitely generated cyclic extensions of free groups are residually finite

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