Structure of small cancellation rings

DOI10.5802/mrr.6OpenAlexW3196857333MaRDI QIDQ2147360

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

Publication date: 20 June 2022

Published in: Mathematics Research Reports (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.03992

zbMATH Keywords

Gröbner basisfiltrationgroup algebratensor productsgreedy algorithmturnDehn's algorithmdefining relations in ringsmulti-turnsmall cancellation groupsmall cancellation ring

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Hyperbolic groups and nonpositively curved groups (20F67) Computational aspects of associative rings (general theory) (16Z05) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Cites Work

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• Combinatorial Algebra: Syntax and Semantics
• Construction of a quotient ring of ℤ₂ℱ in which a binomial 1+𝓌 is invertible using small cancellation methods

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