The cancellation of an infinite cyclic group in direct products

DOI10.1007/BF01229716zbMath0303.20022OpenAlexW2073889772MaRDI QIDQ1216465

S. Singh

Publication date: 1975

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01229716

Mathematics Subject Classification ID

Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (7)

Isomorphism and elementary equivalence of multilinear maps ⋮ Noncancellation and the number of generators ⋮ The direct product of a Hopfian group with a p-group ⋮ Cancellation and Hopficity in direct products ⋮ Elementary Equivalence and Profinite Completions: A Characterization of Finitely Generated Abelian-by-Finite Groups ⋮ The Intersection of the Subgroups of Finite Index in Some Finitely Presented Groups ⋮ Misbehaved direct products

Cites Work

• Unnamed Item
• On Hopfian groups
• The center and the commutator subgroup in hopfian groups
• A conjecture on Hopficity and related results
• The direct product of a hopfian group with a group with cyclic center
• On Cancellation in Groups
• Some Theorems on Hopficity
• Cancellation of Groups with Maximal Condition
• A Problem in Group Theory

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