One-Relator Quotients and Free Products of Cyclics

DOI10.2307/2045870zbMath0653.20029OpenAlexW4244780087MaRDI QIDQ3798862

Benjamin Fine, James Howie, Gerhard Rosenberger

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2045870

zbMATH Keywords

Freiheitssatzone-relator productsone-relator groupsfree productnormal closurecyclically reduced wordtorsion-free subgroups of finite indexgeneralized triangle group

Mathematics Subject Classification ID

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

Related Items

Structure of words with short 2-length in a free product of groups, A note on generalized triangle groups, Free subgroups and decompositions of one-relator products of cyclics. I: The Tits alternative, On proper powers in free products and Dehn surgery, Unknotting numbers of 2‐spheres in the 4‐sphere, On discrete generalised triangle groups, Cyclically Presented Groups Embedded in One-Relator Products of Cyclic Groups, On free subgroups of generalized triangle groups, On the Tits alternative for a class of finitely presented groups with a special focus on symbolic computations, The \(SQ\)-universality of one-relator products of cyclics, Free products of cyclic subgroups in the group \(\text{PSL}_2(\mathbb{C})\), Finite Generalized Triangle Groups, Faithful linear representations and residual finiteness of some products of cyclics with one relation, Pseudo-elementary generalized triangle groups, Two generator subgroups of free products with commuting subgroups, A proof of the Scott-Wiegold conjecture on free products of cyclic groups

Cites Work

• Unnamed Item
• Free subgroups of groups with a single defining relation
• Generalized triangle groups
• Elements of finite order in groups with a single defining relation
• Cohomology of One-Relator Products of Locally Indicable Groups
• On Triple Planes (III)
• On One-Relator Groups Having Elements of Finite Order