Cancellation and Hopficity in direct products

DOI10.1016/0021-8693(78)90171-0zbMath0383.20023OpenAlexW2066445407MaRDI QIDQ1248700

K. Appert

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90171-0

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items

Finitely generated groups L with \(L\approx L\times M\), \(M\neq 1\), M finitely presented ⋮ Some properties of direct products ⋮ The number of indecomposable terms in direct decompositions of groups with the maximal condition ⋮ Cancellation of topological groups ⋮ Misbehaved direct products

Cites Work

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• The cancellation of an infinite cyclic group in direct products
• Power-cancellation of groups and modules
• Genus and cancellation for groups with finite commutator subgroups
• Solvability of groups of odd order
• On Hopfian groups
• Automorphism Groups of Residually Finite Groups
• Cancellation of Groups with Maximal Condition
• Finiteness Conditions for Soluble Groups