Gröbner-Shirshov basis of the Adyan extension of the Novikov group.

DOI10.1016/j.disc.2007.09.011zbMath1158.20015OpenAlexW1972314862MaRDI QIDQ947815

V. V. Chainikov, Leonid A. Bokut'

Publication date: 7 October 2008

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2007.09.011

zbMATH Keywords

finitely presented groupsGröbner-Shirshov basesMarkov propertiesAdyan groupsNovikov groupsrecursively solvable properties

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

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Cites Work

• Recursive unsolvability of group theoretic problems
• Novikov's centrally symmetric group
• The diamond lemma for ring theory
• Gröbner-Shirshov bases: from their inception to the present time.
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• The word problem in semi-groups with cancellation
• Relative Gröbner–Shirshov bases for algebras and groups
• The word problem
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
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