Algorithmically insoluble problems about finitely presented solvable groups, Lie and associative algebras. II

DOI10.1016/0021-8693(85)90085-7zbMath0579.20031OpenAlexW4205201762WikidataQ115366933 ScholiaQ115366933MaRDI QIDQ1067006

Gilbert Baumslag, Dion Gildenhuys, Ralph Strebel

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90085-7

zbMATH Keywords

finitely presented groupisomorphism problemalgorithmic problemsdirect decomposabilityinsoluble word problemalgorithmic undecidability in soluble groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (8)

Unsolvable algorithmic problems for semigroups, groups and rings ⋮ Algorithmically insoluble problems about finitely presented solvable groups, Lie and associative algebras. III ⋮ Positive elements and sufficient conditions for solvability of the submonoid membership problem for nilpotent groups of class two ⋮ Recognizing a relatively hyperbolic group by its Dehn fillings ⋮ The isomorphism problem for all hyperbolic groups. ⋮ The third commutant membership problem in solvable groups ⋮ Algorithmically insoluble problems about finitely presented solvable groups, Lie and associative algebras. I ⋮ Algorithmically insoluble problems about finitely presented solvable groups, Lie and associative algebras. II

Cites Work

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• Recursive unsolvability of group theoretic problems
• Algorithmically insoluble problems about finitely presented solvable groups, Lie and associative algebras. II
• Some recognizable properties of solvable groups
• On the algorithmic insolvability of the word problem in group theory
• Some Unsolvable Problems about Elements and Subgroups of Groups.
• On Group-Theoretic Decision Problems and Their Classification. (AM-68)

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