The maximal normal 𝑝-subgroup of the automorphism group of an abelian 𝑝-group

DOI10.1090/S0002-9939-98-04496-7zbMath0911.20037OpenAlexW1996518096MaRDI QIDQ4210971

Jutta Hausen, Phillip Schultz

Publication date: 10 September 1998

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04496-7

zbMATH Keywords

endomorphism ringsautomorphism groupsJacobson radicalAbelian \(p\)-groupstorsion radicalmaximal normal \(p\)-subgroups

Mathematics Subject Classification ID

Automorphism groups of groups (20F28) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10)

Related Items (2)

Normal \(p\)-subgroups of the automorphism group of an Abelian \(p\)-group ⋮ The upper central series of the maximal normal \(p\)-subgroup of a group of automorphisms

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