Unrecognizability of some residual properties for free groups

DOI10.1007/BF00970983zbMath0787.20020MaRDI QIDQ1204762

M. I. Anokhin

Publication date: 28 March 1993

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

periodicitynilpotent groupsresidual finitenessfinite set of identities2-generated groupalgorithmically undecidableclass of groupsnonrecognizabilityrelatively free 2-generated groupsresidually periodic

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) Residual properties and generalizations; residually finite groups (20E26) Quasivarieties and varieties of groups (20E10)

Cites Work

• Width of verbal subgroups in solvable groups
• Unsolvability of the endomorphic reducibility problem in free nilpotent groups and in free rings
• Some properties of a Magnus embedding
• Uncountably many Varieties of Groups
• Unnamed Item
• Unnamed Item

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