On thickness and decomposability of abelian \(p\)-groups

DOI10.1007/BF02808212zbMath0793.20049MaRDI QIDQ1802757

Manfred Dugas, John M. Irwin

Publication date: 29 June 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

cyclic groupsdirect sumthick groupbasic subgroupsmall homomorphismsessentially finitely indecomposableseparable abelian \(p\)-groups

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10) Direct sums, direct products, etc. for abelian groups (20K25)

Related Items (3)

A Note on Irwin's Conjecture (E.F.I.p-Groups = Thickp-Groups) ⋮ Notes on Essentially Finitely Indecomposable Nonthick Primary Abelian Groups ⋮ Small pairs of abelian \(p\)-groups

Cites Work

• Separable Abelian \(p\)-groups having certain prescribed chains
• Thick Groups and Essentially Finitely Indecomposable Groups
• Prescribing Endomorphism Algebras, a Unified Treatment
• Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday

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