Transitive and fully transitive groups

DOI10.1090/S0002-9939-98-04330-5zbMath0909.20034MaRDI QIDQ4387027

Brendan Goldsmith, Steve T. Files

Publication date: 6 May 1998

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

zbMATH Keywords

Ulm invariantsUlm subgroupsUlm sequencesheight sequencesfully transitive Abelian \(p\)-groupsUlm supports

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) Abelian groups (20K99)

Related Items (23)

On the socles of characteristically inert subgroups of abelian \(p\)-groups ⋮ Abelian p-groups with minimal characteristic inertia ⋮ FULLY TRANSITIVE, TRANSITIVE ABELIAN GROUPS AND SOME THEIR GENERALIZATIONS ⋮ On transitivity-like properties for torsion-free abelian groups ⋮ On projectively fully transitive Abelian \(p\)-groups. ⋮ Transitivity and full transitivity for nontorsion modules ⋮ Some transitivity-like concepts in abelian groups ⋮ On socle-regularity and some notions of transitivity for Abelian \(p\)-groups. ⋮ On the socles of strongly inert subgroups of abelian \(p \)-groups ⋮ The lattice of fully invariant subgroups of the cotorsion hull. ⋮ Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ On some properties of endomorphism rings of abelian groups ⋮ On fully quasitransitive abelian groups ⋮ On projectively fully transitive abelian groups ⋮ On projectively Krylov transitive and projectively weakly transitive abelian \(p\)-groups ⋮ The lattice of fully invariant subgroups of a cotorsion group. ⋮ On the socles of characteristic subgroups of Abelian \(p\)-groups. ⋮ On commutator Krylov transitive and commutator weakly transitive abelian \(p\)-groups ⋮ Fully invariant subgroups, full transitivity, and homomorphism groups of Abelian groups. ⋮ Modules over discrete valuation domains. II ⋮ Full transitivity of Abelian groups. ⋮ Fully transitive $p$-groups with finite first Ulm subgroup

Cites Work

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