On projectively fully transitive Abelian \(p\)-groups.

DOI10.1007/s00025-012-0256-8zbMath1276.20062OpenAlexW1996217275MaRDI QIDQ351111

Brendan Goldsmith, Peter V. Danchev

Publication date: 11 July 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-012-0256-8

zbMATH Keywords

endomorphism ringsAbelian \(p\)-groupsUlm invariantsfully invariant subgroupsidempotent endomorphismsprojection-invariant subgroupsprojectively fully transitive groups

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10) Subgroups of abelian groups (20K27)

Related Items (4)

FULLY TRANSITIVE, TRANSITIVE ABELIAN GROUPS AND SOME THEIR GENERALIZATIONS ⋮ On projectively fully transitive abelian groups ⋮ On projectively Krylov transitive and projectively weakly transitive abelian \(p\)-groups ⋮ On commutator Krylov transitive and commutator weakly transitive abelian \(p\)-groups

Cites Work

• On socle-regularity and some notions of transitivity for Abelian \(p\)-groups.
• On the socles of characteristic subgroups of Abelian \(p\)-groups.
• On the socles of fully invariant subgroups of Abelian \(p\)-groups.
• \(\lambda\)-large subgroups of \(C_\lambda\)-groups
• Large subgroups and small homomorphisms
• Extending automorphisms and lifting decompositions in abelian groups
• THE INDEPENDENCE OF KAPLANSKY'S NOTIONS OF TRANSITIVITY AND FULL TRANSITIVITY
• ON ENDOMORPHISM RINGS OF PRIMARY ABELIAN GROUPS, II
• Transitive and fully transitive groups
• On Transitive and Fully Transitive Primary Groups
• ON ENDOMORPHISM RINGS OF PRIMARY ABELIAN GROUPS
• Essentially Indecomposable Abelian P -Groups
• Some Results on Abelian Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On projectively fully transitive Abelian \(p\)-groups.