Finitary groups and Krull dimension over the integers

• Datum: 2006
• Hauptverfasser: Wehrfritz, B. A. F., Веґрфріц, Б. А. Ф.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2006
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3534
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Let $M$ be any Abelian group. We make a detailed study for reasons explained in the Introduction of the normal subgroup $$F_\infty Aut M = \{ g \in Aut M: M(g - 1) is\;a \;minimax\; group\}$$ of the automorphism group $Aut M$ of $M$. The conclusions, although slightly weaker than one would hope, in...