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- W608728410 abstract "We are going to prove two theorems on endomorphism rings of rank one abelian groups with simply presented torsion. In Theorem 1, we describe when the endomorphism rings of two groups are isomorphic, and in Theorem 2, we tell when the endomorphism ring of a group possesses only inner automorphisms. In the proofs we utilize two results: the first reduces the global problem to endomorphism rings of local groups; the second, a local theorem, classifies isomorphisms of endomorphism rings of local groups. The bulk of the proofs are then devoted to relating such isomorphisms to p-indicators." @default.
- W608728410 created "2016-06-24" @default.
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- W608728410 date "1984-01-01" @default.
- W608728410 modified "2023-10-17" @default.
- W608728410 title "Classifying Endomorphism Rings of Rank One Mixed Groups" @default.
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- W608728410 doi "https://doi.org/10.1007/978-3-7091-2814-5_18" @default.
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