Embeddings into hopfian groups

DOI10.1016/0021-8693(71)90028-7zbMath0215.11002OpenAlexW2033503703MaRDI QIDQ2545565

Paul E. Schupp, Charles F. III Miller

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1016/0021-8693(71)90028-7

Mathematics Subject Classification ID

Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Recursively (computably) enumerable sets and degrees (03D25) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items

A Characterization of Inner Automorphisms, A combination theorem for cubulation in small cancellation theory over free products, The problem of solvability of a positive theory of an arbitrary group is algorithmically unsolvable, On the embedding of a group in a join of given groups, Infinite groups, The Friedman embedding theorem., On finitely generated soluble non-Hopfian groups., Hopfian and co-Hopfian groups, Inversion is Possible in Groups with no Periodic Automorphisms, Random quotients of the modular group are rigid and essentially incompressible, Small cancellation theory over free products with amalgamation, Questions in algebra and mathematical logic. Scientific heritage of S. I. Adian, The Intersection of the Subgroups of Finite Index in Some Finitely Presented Groups, Misbehaved direct products, Infinitely presented small cancellation groups have the Haagerup property

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• Word problems and recursively enumerable degrees of unsolvability. A sequel on finitely presented groups
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• On Greendlinger's lemma
• Elements of finite order in free product sixth-groups