Fully transitive $p$-groups with finite first Ulm subgroup

DOI10.1090/S0002-9939-02-06593-0zbMath1015.20041OpenAlexW1764357026MaRDI QIDQ4779841

Agnes T. Paras, Lutz H. Strüngmann

Publication date: 28 October 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06593-0

zbMATH Keywords

endomorphismsautomorphismsAbelian \(p\)-groupstransitive groupsUlm subgroupsfully transitive groups

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10)

Related Items (4)

FULLY TRANSITIVE, TRANSITIVE ABELIAN GROUPS AND SOME THEIR GENERALIZATIONS ⋮ On some properties of endomorphism rings of abelian groups ⋮ On the socles of characteristic subgroups of Abelian \(p\)-groups. ⋮ Full transitivity of Abelian groups.

Cites Work

• On endomorphism rings of non-separable Abelian \(p\)-groups
• Transitive and fully transitive primary abelian groups
• Large subgroups and small homomorphisms
• THE INDEPENDENCE OF KAPLANSKY'S NOTIONS OF TRANSITIVITY AND FULL TRANSITIVITY
• Transitive and fully transitive groups
• On Transitive and Fully Transitive Primary Groups
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