Verbal products of groups

DOI10.1007/BF02260879zbMath0810.20019OpenAlexW1977555617MaRDI QIDQ1320695

S. V. Rychkov

Publication date: 18 May 1994

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02260879

zbMATH Keywords

free groupsindecomposablesolvable groupsvariety of groupsregular uncountable cardinalgroups of exponent zerostrongly \(\kappa\)-free groupsverbal product

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Quasivarieties and varieties of groups (20E10)

Cites Work

• Unnamed Item
• In singular cardinality, locally free algebras are free
• On endo-rigid, strongly \(\aleph_1\)-free Abelian groups in \(\aleph_1\).
• A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals
• On constructing indecomposable groups in L
• Realization of rings by endomorphism rings
• New Criteria for Freeness in Abelian Groups. II
• Some groups all of whose proper verbal quotients are relatively free
• Every Cotorsion-Free Ring is an Endomorphism Ring
• Varieties of groups
• Almost Free Groups
• Almost free groups in varieties

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