Hopfian and co-Hopfian groups

DOI10.1017/S0004972700030690zbMath0890.20028MaRDI QIDQ4363837

Satya Deo, K. Varadarajan

Publication date: 15 December 1997

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

endomorphismsfinitely generated groupsautomorphismsco-Hopfian groupsPoincaré duality groupsHopfian groupsembeddings into Hopfian groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Topological methods in group theory (57M07) Automorphisms of infinite groups (20E36) Other groups related to topology or analysis (20F38)

Related Items (6)

CO-HOPFIAN ABELIAN GROUPS ⋮ Pro-compactly finite MV-algebras ⋮ Cohopfian groups and accessible group classes ⋮ Solitary subgroups of abelian groups ⋮ On isonoetherian and isoartinian modules ⋮ Generalized Hopfian modules

Cites Work

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• On generalised free products
• Pseudo-mitotic groups
• Euler characteristics of discrete groups and G-spaces
• A remark on subgroups of infinite index in Poincaré duality groups
• Cohopficity of 3-manifold groups
• Embeddings into hopfian groups
• Guppen mit Poincaré-Dualität
• Subgroups of finitely presented groups
• Cohopficity of Seifert-Bundle Groups
• Covering Invariants and Cohopficity of 3-Manifold Groups
• A Certain Subgroup of the Fundamental Group
• Residual Finiteness of Surface Groups
• The Hopfian property for a class of fundamental groups
• Algebraically Closed Groups

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