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Construction of a quotient ring of ℤ₂ℱ in which a binomial 1+𝓌 is invertible using small cancellation methods

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Publication:5239103
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DOI10.1090/conm/726/14605zbMath1466.20031arXiv1807.10070OpenAlexW2923454143MaRDI QIDQ5239103

Alexei Kanel-Belov, A. Atkarskaya, Eliyahu Rips, Eugene Plotkin

Publication date: 22 October 2019

Published in: Groups, Algebras and Identities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.10070

zbMATH Keywords

quotient ringcancellation methods


Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Hyperbolic groups and nonpositively curved groups (20F67)


Related Items

Structure of small cancellation rings, Group-like small cancellation theory for rings, Axiomatic definition of small cancellation rings



Cites Work

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  • Géométrie et théorie des groupes. Les groupes hyperboliques de Gromov. (Geometry and group theory. The hyperbolic groups of Gromov)
  • Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
  • The diamond lemma for ring theory
  • Combinatorial group theory.
  • Canonical representatives and equations in hyperbolic groups
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