Finitely generated groups L with \(L\approx L\times M\), \(M\neq 1\), M finitely presented

DOI10.1016/0021-8693(86)90065-7zbMath0597.20027OpenAlexW2063237406MaRDI QIDQ1078667

B. George

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90065-7

zbMATH Keywords

finitely generated groupsfinitely presentedcomplementary factorfinitely generated non Hopfian group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (2)

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Cites Work

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• Polycyclic groups with isomorphic finite quotients
• Cancellation and Hopficity in direct products
• Growth sequences of finitely generated groups
• Non-hopfian groups with fully invariant kernels. II
• Dehn's algorithm for the word problem
• Some two-generator one-relator non-Hopfian groups
• The Intersection of the Subgroups of Finite Index in Some Finitely Presented Groups
• Metabelian groups with the same finite quotients
• Direct products and the Hopf property

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