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Automorphismengruppen Endlicher Abelscher p-Gruppen

In: Études sur les Groupes abéliens / Studies on Abelian Groups

Author

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  • Kai Faltings

    (Mathematisches Seminar der Universität)

Abstract

Zusammenfassung Die Struktur der Automorphismengruppe einer abelschen p-Gruppe wurde zuerst für den endlichen Fall von K. Shoda [3] beschrieben. Später hat L. Fuchs [2] den allgemeinen Fall untersucht, und für abzahlbare, reduzierte p-Gruppen konnte H. Freedman [l] die Ergebnisse von Shoda weitgehend übertragen. In der vorliegenden Arbeit wollen wir die Struktur der Automorphismengruppe r einer endlichen abelschen p-Gruppe etwas genauer untersuchen, wobei unser Interesse hauptsächlich den Normalteilern von r gilt.

Suggested Citation

  • Kai Faltings, 1968. "Automorphismengruppen Endlicher Abelscher p-Gruppen," Springer Books, in: Études sur les Groupes abéliens / Studies on Abelian Groups, chapter 0, pages 101-119, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-46146-0_6
    DOI: 10.1007/978-3-642-46146-0_6
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