Gröbner-Shirshov Bases for Some One-relator Groups

DOI10.1142/S1005386712000077zbMath1272.20036arXiv0804.0643OpenAlexW2963799815MaRDI QIDQ2880067

Chanyan Zhong, Yuqun Chen

Publication date: 12 April 2012

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.0643

zbMATH Keywords

HNN-extensionsone-relator groupsnormal form theoremsGröbner-Shirshov bases

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (2)

Unnamed Item ⋮ Gröbner–Shirshov bases and their calculation

Cites Work

• Unnamed Item
• The diamond lemma for ring theory
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
• The word problem

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