On Andrews–Curtis conjectures for soluble groups

DOI10.1142/S0218196718500054zbMath1494.20041arXiv1612.06912OpenAlexW2962969155WikidataQ122874573 ScholiaQ122874573MaRDI QIDQ4608248

Luc Guyot

Publication date: 16 March 2018

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.06912

zbMATH Keywords

solvable groupmetabelian groupsBaumslag-Solitar groupsAndrews-Curtis conjectureNielsen equivalencerecalcitrancecoessential abelianization

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05)

Uses Software

• MathOverflow

Cites Work

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• On the dunce hat
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• Balanced finite presentations of the trivial group
• A NOTE ON NIELSEN EQUIVALENCE IN FINITELY GENERATED ABELIAN GROUPS
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• The Frattini subgroup of a direct product of groups
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• Infinitely many disk knots with the same exterior
• Group Presentations and Formal Deformations
• The graph of generating sets of an abelian group
• Balanced Presentations of the Trivial Group
• Recalcitrance in groups
• Coessential Abelianization Morphisms in the Category of Groups
• 2-KNOTS WITH SOLVABLE GROUPS
• Nielsen equivalence in Gupta-Sidki groups
• Der reduzierte Rang einer Gruppe.
• Free Groups and Handlebodies
• Extended Nielsen Operations in Free Groups
• Elements With Trivial Centralizer in Wreath Products

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