On automorphism groups of some modules
In this paper we investigated \(ZG\)-module \(A\), where \(G\) is either nilpotent or soluble group of infinite special rank. It is described the construction of these modules in the case, if for any proper subgroup \(H\) of infinite special rank of group \(G\) the quotient module \(A/C_{A}(H)\) is...
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| Datum: | 2018 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2018
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| Schlagworte: | |
| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/878 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| Zusammenfassung: | In this paper we investigated \(ZG\)-module \(A\), where \(G\) is either nilpotent or soluble group of infinite special rank. It is described the construction of these modules in the case, if for any proper subgroup \(H\) of infinite special rank of group \(G\) the quotient module \(A/C_{A}(H)\) is a noetherian \(Z\)-module. |
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