Andrews–Curtis groups and the Andrews–Curtis conjecture

DOI10.1515/JGT.2007.029zbMath1124.20020OpenAlexW1974081529WikidataQ123114558 ScholiaQ123114558MaRDI QIDQ5292702

Adam Piggott

Publication date: 22 June 2007

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2007.029

zbMATH Keywords

generalized word problembalanced presentationsAndrews-Curtis conjectureNielsen transformations

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Cites Work

• Some finitely presented subgroups of the automorphism group of a free group
• Stallings foldings and subgroups of free groups
• Counting primitive elements in free groups
• Implicit function theorem over free groups.
• On equivalent sets of elements in a free group
• BREADTH-FIRST SEARCH AND THE ANDREWS–CURTIS CONJECTURE
• On aspherical presentations of groups
• Balanced Presentations of the Trivial Group
• GENETIC ALGORITHMS AND THE ANDREWS–CURTIS CONJECTURE

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