The Intersection of the Subgroups of Finite Index in Some Finitely Presented Groups

DOI10.2307/2040360zbMath0321.20024OpenAlexW4253726047MaRDI QIDQ4083895

Ronald Hirshon

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/2040360

Mathematics Subject Classification ID

Local properties of groups (20E25)

Related Items (3)

Finitely generated groups L with \(L\approx L\times M\), \(M\neq 1\), M finitely presented ⋮ Infinite groups ⋮ The intersection of the subgroups of finite index in Baumslag-Solitar groups.

Cites Work

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• Some new groups admitting essentially unique directly indecomposable decompositions
• Embeddings into 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
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• Some two-generator one-relator non-Hopfian groups
• Hanna Neumann
• Direct products and the Hopf property
• Free products of hopfian lattices
• Three examples on hopficity in torsion-free abelian groups
• Embeddings in Non-Hopf Groups
• Some Theorems on Hopficity
• Residually finite groups
• Onto Endomorphisms are Isomorphisms
• The endomorphisms of certain one-relator groups and the generalized Hopfian problem
• The Hopficity of F/r′
• A Problem in Group Theory
• Non-Hopfian Groups with Fully Invariant Kernels. I
• The Hopfian property for a class of fundamental groups
• A Two-Generator Group Isomorphic to a Proper Factor Group
• A Finitely Related Group with An Isomorphic Proper Factor Group
• Groups without proper isomorphic quotient groups
• Free products of Hopf groups

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