Characteristic Subgroups of Finite Abelian Groups

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dc.creatorKerby, Brent
dc.creatorTurner, Emma
dc.date2009-05-12
dc.date.accessioned2026-07-07T13:14:08Z
dc.date.available2026-07-07T13:14:08Z
dc.descriptionWe consider the question: When do two finite abelian groups have isomorphic lattices of characteristic subgroups? An explicit description of the characteristic subgroups of such groups enables us to give a complete answer to this question in the case where at least one of the groups has odd order. An "exceptional" isomorphism, which occurs between the lattice of characteristic subgroups of $Z_p\times Z_{p^2}\times Z_{p^4}$ and $Z_{p^2} \times Z_{p^5}$, for any prime $p$, is noteworthy.
dc.identifierhttps://arxiv.org/abs/0905.1885
dc.identifierhttp://arxiv.org/abs/0905.1885
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230113
dc.subjectGroup Theory
dc.subject20K01; 20K30; 06B99
dc.titleCharacteristic Subgroups of Finite Abelian Groups
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