Faithful linear representations and residual finiteness of some products of cyclics with one relation

DOI10.1007/BF00970180zbMath0819.20026OpenAlexW2064675413MaRDI QIDQ1814404

Gerhard Rosenberger

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf00970180

zbMATH Keywords

fundamental groupsresidually finiteFreiheitssatzfree generatorsfaithful representability in \(\text{PSL}(2,\mathbb{C})\)free products of cyclicsproducts of cyclics

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) 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) Residual properties and generalizations; residually finite groups (20E26) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (1)

Binary Lie algebras without strong zero divisors

Cites Work

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• Surfaces and planar discontinuous groups. Revised and expanded transl. from the German by J. Stillwell
• Linear representations of certain amalgamated products
• One-Relator Quotients and Free Products of Cyclics

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