Gröbner–Shirshov Bases for Schreier Extensions of Groups

DOI10.1080/00927870701869899zbMath1206.20027arXiv0804.0641OpenAlexW2005963269MaRDI QIDQ3514798

Yuqun Chen

Publication date: 23 July 2008

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

Full work available at URL: https://arxiv.org/abs/0804.0641

zbMATH Keywords

HNN extensionsgenerators and relationsGröbner-Shirshov basesSchreier extensions

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) Extensions, wreath products, and other compositions of groups (20E22) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

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Cites Work

• Unnamed Item
• The diamond lemma for ring theory
• Embeddings into simple associative algebras
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
• Gröbner–Shirshov Basis for HNN Extensions of Groups and for the Alternating Group
• Embedding Theorems for Groups